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Finding the Third Proportional to 840,813 and 1,302,531

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Solution

The third proportional to 840,813 and 1,302,531 is: 2,017,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,813 : 1,302,531 = 1,302,531 : x
  2. Step 2: Convert to fraction form
    840,813/1,302,531 = 1,302,531/x
  3. Step 3: Cross multiply
    840,813x = 1,302,531 × 1,302,531
  4. Step 4: Simplify right side
    840,813x = 1,696,587,005,961
  5. Step 5: Solve for x
    x = 1,696,587,005,961/840,813
  6. Step 6: Final answer
    x = 2,017,793.50

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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.