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Finding the Third Proportional to 147,533 and 316,561

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Solution

The third proportional to 147,533 and 316,561 is: 679,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,533 : 316,561 = 316,561 : x
  2. Step 2: Convert to fraction form
    147,533/316,561 = 316,561/x
  3. Step 3: Cross multiply
    147,533x = 316,561 × 316,561
  4. Step 4: Simplify right side
    147,533x = 100,210,866,721
  5. Step 5: Solve for x
    x = 100,210,866,721/147,533
  6. Step 6: Final answer
    x = 679,243.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.