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Finding the Third Proportional to 387,400 and 581,080

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Solution

The third proportional to 387,400 and 581,080 is: 871,590.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,400 : 581,080 = 581,080 : x
  2. Step 2: Convert to fraction form
    387,400/581,080 = 581,080/x
  3. Step 3: Cross multiply
    387,400x = 581,080 × 581,080
  4. Step 4: Simplify right side
    387,400x = 337,653,966,400
  5. Step 5: Solve for x
    x = 337,653,966,400/387,400
  6. Step 6: Final answer
    x = 871,590.00

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Why These Related Problems?

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