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Finding the Third Proportional to 147,776 and 216,425

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Solution

The third proportional to 147,776 and 216,425 is: 316,964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,776 : 216,425 = 216,425 : x
  2. Step 2: Convert to fraction form
    147,776/216,425 = 216,425/x
  3. Step 3: Cross multiply
    147,776x = 216,425 × 216,425
  4. Step 4: Simplify right side
    147,776x = 46,839,780,625
  5. Step 5: Solve for x
    x = 46,839,780,625/147,776
  6. Step 6: Final answer
    x = 316,964.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.