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Finding the Third Proportional to 506,638 and 790,629

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Solution

The third proportional to 506,638 and 790,629 is: 1,233,808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,638 : 790,629 = 790,629 : x
  2. Step 2: Convert to fraction form
    506,638/790,629 = 790,629/x
  3. Step 3: Cross multiply
    506,638x = 790,629 × 790,629
  4. Step 4: Simplify right side
    506,638x = 625,094,215,641
  5. Step 5: Solve for x
    x = 625,094,215,641/506,638
  6. Step 6: Final answer
    x = 1,233,808.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.