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Finding the Third Proportional to 103,438 and 147,644

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Solution

The third proportional to 103,438 and 147,644 is: 210,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,438 : 147,644 = 147,644 : x
  2. Step 2: Convert to fraction form
    103,438/147,644 = 147,644/x
  3. Step 3: Cross multiply
    103,438x = 147,644 × 147,644
  4. Step 4: Simplify right side
    103,438x = 21,798,750,736
  5. Step 5: Solve for x
    x = 21,798,750,736/103,438
  6. Step 6: Final answer
    x = 210,742.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.