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Finding the Third Proportional to 387,456 and 581,580

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Solution

The third proportional to 387,456 and 581,580 is: 872,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,456 : 581,580 = 581,580 : x
  2. Step 2: Convert to fraction form
    387,456/581,580 = 581,580/x
  3. Step 3: Cross multiply
    387,456x = 581,580 × 581,580
  4. Step 4: Simplify right side
    387,456x = 338,235,296,400
  5. Step 5: Solve for x
    x = 338,235,296,400/387,456
  6. Step 6: Final answer
    x = 872,964.40

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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.