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Finding the Third Proportional to 15,700 and 17,332

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Solution

The third proportional to 15,700 and 17,332 is: 19,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700 : 17,332 = 17,332 : x
  2. Step 2: Convert to fraction form
    15,700/17,332 = 17,332/x
  3. Step 3: Cross multiply
    15,700x = 17,332 × 17,332
  4. Step 4: Simplify right side
    15,700x = 300,398,224
  5. Step 5: Solve for x
    x = 300,398,224/15,700
  6. Step 6: Final answer
    x = 19,133.64

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.