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Finding the Third Proportional to 100,374 and 147,789

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Solution

The third proportional to 100,374 and 147,789 is: 217,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,374 : 147,789 = 147,789 : x
  2. Step 2: Convert to fraction form
    100,374/147,789 = 147,789/x
  3. Step 3: Cross multiply
    100,374x = 147,789 × 147,789
  4. Step 4: Simplify right side
    100,374x = 21,841,588,521
  5. Step 5: Solve for x
    x = 21,841,588,521/100,374
  6. Step 6: Final answer
    x = 217,602.05

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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.