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Finding the Third Proportional to 390,760 and 609,472

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Solution

The third proportional to 390,760 and 609,472 is: 950,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,760 : 609,472 = 609,472 : x
  2. Step 2: Convert to fraction form
    390,760/609,472 = 609,472/x
  3. Step 3: Cross multiply
    390,760x = 609,472 × 609,472
  4. Step 4: Simplify right side
    390,760x = 371,456,118,784
  5. Step 5: Solve for x
    x = 371,456,118,784/390,760
  6. Step 6: Final answer
    x = 950,599.14

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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.