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Finding the Third Proportional to 506,403 and 783,866

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Solution

The third proportional to 506,403 and 783,866 is: 1,213,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,403 : 783,866 = 783,866 : x
  2. Step 2: Convert to fraction form
    506,403/783,866 = 783,866/x
  3. Step 3: Cross multiply
    506,403x = 783,866 × 783,866
  4. Step 4: Simplify right side
    506,403x = 614,445,905,956
  5. Step 5: Solve for x
    x = 614,445,905,956/506,403
  6. Step 6: Final answer
    x = 1,213,353.61

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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.