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Finding the Third Proportional to 497,113 and 777,659

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Solution

The third proportional to 497,113 and 777,659 is: 1,216,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,113 : 777,659 = 777,659 : x
  2. Step 2: Convert to fraction form
    497,113/777,659 = 777,659/x
  3. Step 3: Cross multiply
    497,113x = 777,659 × 777,659
  4. Step 4: Simplify right side
    497,113x = 604,753,520,281
  5. Step 5: Solve for x
    x = 604,753,520,281/497,113
  6. Step 6: Final answer
    x = 1,216,531.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.