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Finding the Third Proportional to 239,587 and 359,387

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Solution

The third proportional to 239,587 and 359,387 is: 539,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,587 : 359,387 = 359,387 : x
  2. Step 2: Convert to fraction form
    239,587/359,387 = 359,387/x
  3. Step 3: Cross multiply
    239,587x = 359,387 × 359,387
  4. Step 4: Simplify right side
    239,587x = 129,159,015,769
  5. Step 5: Solve for x
    x = 129,159,015,769/239,587
  6. Step 6: Final answer
    x = 539,090.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.