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Finding the Third Proportional to 172,216 and 268,528

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Solution

The third proportional to 172,216 and 268,528 is: 418,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,216 : 268,528 = 268,528 : x
  2. Step 2: Convert to fraction form
    172,216/268,528 = 268,528/x
  3. Step 3: Cross multiply
    172,216x = 268,528 × 268,528
  4. Step 4: Simplify right side
    172,216x = 72,107,286,784
  5. Step 5: Solve for x
    x = 72,107,286,784/172,216
  6. Step 6: Final answer
    x = 418,702.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.