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Finding the Third Proportional to 506,402 and 783,864

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Solution

The third proportional to 506,402 and 783,864 is: 1,213,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,402 : 783,864 = 783,864 : x
  2. Step 2: Convert to fraction form
    506,402/783,864 = 783,864/x
  3. Step 3: Cross multiply
    506,402x = 783,864 × 783,864
  4. Step 4: Simplify right side
    506,402x = 614,442,770,496
  5. Step 5: Solve for x
    x = 614,442,770,496/506,402
  6. Step 6: Final answer
    x = 1,213,349.81

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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.