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Finding the Third Proportional to 132,248 and 287,816

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Solution

The third proportional to 132,248 and 287,816 is: 626,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,248 : 287,816 = 287,816 : x
  2. Step 2: Convert to fraction form
    132,248/287,816 = 287,816/x
  3. Step 3: Cross multiply
    132,248x = 287,816 × 287,816
  4. Step 4: Simplify right side
    132,248x = 82,838,049,856
  5. Step 5: Solve for x
    x = 82,838,049,856/132,248
  6. Step 6: Final answer
    x = 626,384.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.