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Finding the Third Proportional to 549,803 and 851,309

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Solution

The third proportional to 549,803 and 851,309 is: 1,318,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,803 : 851,309 = 851,309 : x
  2. Step 2: Convert to fraction form
    549,803/851,309 = 851,309/x
  3. Step 3: Cross multiply
    549,803x = 851,309 × 851,309
  4. Step 4: Simplify right side
    549,803x = 724,727,013,481
  5. Step 5: Solve for x
    x = 724,727,013,481/549,803
  6. Step 6: Final answer
    x = 1,318,157.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.