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Finding the Third Proportional to 100,445 and 147,387

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Solution

The third proportional to 100,445 and 147,387 is: 216,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,445 : 147,387 = 147,387 : x
  2. Step 2: Convert to fraction form
    100,445/147,387 = 147,387/x
  3. Step 3: Cross multiply
    100,445x = 147,387 × 147,387
  4. Step 4: Simplify right side
    100,445x = 21,722,927,769
  5. Step 5: Solve for x
    x = 21,722,927,769/100,445
  6. Step 6: Final answer
    x = 216,266.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.