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Finding the Third Proportional to 390,011,744,038 and 549,222,478,701

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Solution

The third proportional to 390,011,744,038 and 549,222,478,701 is: 773,426,276,827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,011,744,038 : 549,222,478,701 = 549,222,478,701 : x
  2. Step 2: Convert to fraction form
    390,011,744,038/549,222,478,701 = 549,222,478,701/x
  3. Step 3: Cross multiply
    390,011,744,038x = 549,222,478,701 × 549,222,478,701
  4. Step 4: Simplify right side
    390,011,744,038x = 301,645,331,110,470,388,547,584
  5. Step 5: Solve for x
    x = 301,645,331,110,470,388,547,584/390,011,744,038
  6. Step 6: Final answer
    x = 773,426,276,827.91

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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.