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Finding the Third Proportional to 135,215.25 and 288,528

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Solution

The third proportional to 135,215.25 and 288,528 is: 615,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,215.25 : 288,528 = 288,528 : x
  2. Step 2: Convert to fraction form
    135,215.25/288,528 = 288,528/x
  3. Step 3: Cross multiply
    135,215.25x = 288,528 × 288,528
  4. Step 4: Simplify right side
    135,215.25x = 83,248,406,784
  5. Step 5: Solve for x
    x = 83,248,406,784/135,215.25
  6. Step 6: Final answer
    x = 615,673.21

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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.