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Finding the Third Proportional to 290,609 and 392,515

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Solution

The third proportional to 290,609 and 392,515 is: 530,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,609 : 392,515 = 392,515 : x
  2. Step 2: Convert to fraction form
    290,609/392,515 = 392,515/x
  3. Step 3: Cross multiply
    290,609x = 392,515 × 392,515
  4. Step 4: Simplify right side
    290,609x = 154,068,025,225
  5. Step 5: Solve for x
    x = 154,068,025,225/290,609
  6. Step 6: Final answer
    x = 530,155.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.