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Finding the Third Proportional to 245,331 and 359,919

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Solution

The third proportional to 245,331 and 359,919 is: 528,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,331 : 359,919 = 359,919 : x
  2. Step 2: Convert to fraction form
    245,331/359,919 = 359,919/x
  3. Step 3: Cross multiply
    245,331x = 359,919 × 359,919
  4. Step 4: Simplify right side
    245,331x = 129,541,686,561
  5. Step 5: Solve for x
    x = 129,541,686,561/245,331
  6. Step 6: Final answer
    x = 528,028.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.