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Finding the Third Proportional to 506,407 and 783,872

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Solution

The third proportional to 506,407 and 783,872 is: 1,213,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,407 : 783,872 = 783,872 : x
  2. Step 2: Convert to fraction form
    506,407/783,872 = 783,872/x
  3. Step 3: Cross multiply
    506,407x = 783,872 × 783,872
  4. Step 4: Simplify right side
    506,407x = 614,455,312,384
  5. Step 5: Solve for x
    x = 614,455,312,384/506,407
  6. Step 6: Final answer
    x = 1,213,362.60

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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.