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Finding the Third Proportional to 132,812 and 287,748

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Solution

The third proportional to 132,812 and 287,748 is: 623,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,812 : 287,748 = 287,748 : x
  2. Step 2: Convert to fraction form
    132,812/287,748 = 287,748/x
  3. Step 3: Cross multiply
    132,812x = 287,748 × 287,748
  4. Step 4: Simplify right side
    132,812x = 82,798,911,504
  5. Step 5: Solve for x
    x = 82,798,911,504/132,812
  6. Step 6: Final answer
    x = 623,429.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.