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Finding the Third Proportional to 390,011,744,034 and 549,222,478,695

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Solution

The third proportional to 390,011,744,034 and 549,222,478,695 is: 773,426,276,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,011,744,034 : 549,222,478,695 = 549,222,478,695 : x
  2. Step 2: Convert to fraction form
    390,011,744,034/549,222,478,695 = 549,222,478,695/x
  3. Step 3: Cross multiply
    390,011,744,034x = 549,222,478,695 × 549,222,478,695
  4. Step 4: Simplify right side
    390,011,744,034x = 301,645,331,103,879,727,677,440
  5. Step 5: Solve for x
    x = 301,645,331,103,879,727,677,440/390,011,744,034
  6. Step 6: Final answer
    x = 773,426,276,818.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.