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Finding the Third Proportional to 506,400 and 783,861

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Solution

The third proportional to 506,400 and 783,861 is: 1,213,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,400 : 783,861 = 783,861 : x
  2. Step 2: Convert to fraction form
    506,400/783,861 = 783,861/x
  3. Step 3: Cross multiply
    506,400x = 783,861 × 783,861
  4. Step 4: Simplify right side
    506,400x = 614,438,067,321
  5. Step 5: Solve for x
    x = 614,438,067,321/506,400
  6. Step 6: Final answer
    x = 1,213,345.31

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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.