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Finding the Third Proportional to 360,332 and 557,980

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Solution

The third proportional to 360,332 and 557,980 is: 864,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,332 : 557,980 = 557,980 : x
  2. Step 2: Convert to fraction form
    360,332/557,980 = 557,980/x
  3. Step 3: Cross multiply
    360,332x = 557,980 × 557,980
  4. Step 4: Simplify right side
    360,332x = 311,341,680,400
  5. Step 5: Solve for x
    x = 311,341,680,400/360,332
  6. Step 6: Final answer
    x = 864,041.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.