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Finding the Third Proportional to 135,240 and 288,572

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Solution

The third proportional to 135,240 and 288,572 is: 615,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,240 : 288,572 = 288,572 : x
  2. Step 2: Convert to fraction form
    135,240/288,572 = 288,572/x
  3. Step 3: Cross multiply
    135,240x = 288,572 × 288,572
  4. Step 4: Simplify right side
    135,240x = 83,273,799,184
  5. Step 5: Solve for x
    x = 83,273,799,184/135,240
  6. Step 6: Final answer
    x = 615,748.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.