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Finding the Third Proportional to 147,700 and 316,400

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Solution

The third proportional to 147,700 and 316,400 is: 677,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,700 : 316,400 = 316,400 : x
  2. Step 2: Convert to fraction form
    147,700/316,400 = 316,400/x
  3. Step 3: Cross multiply
    147,700x = 316,400 × 316,400
  4. Step 4: Simplify right side
    147,700x = 100,108,960,000
  5. Step 5: Solve for x
    x = 100,108,960,000/147,700
  6. Step 6: Final answer
    x = 677,785.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.