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Finding the Third Proportional to 135,972 and 298,076

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Solution

The third proportional to 135,972 and 298,076 is: 653,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,972 : 298,076 = 298,076 : x
  2. Step 2: Convert to fraction form
    135,972/298,076 = 298,076/x
  3. Step 3: Cross multiply
    135,972x = 298,076 × 298,076
  4. Step 4: Simplify right side
    135,972x = 88,849,301,776
  5. Step 5: Solve for x
    x = 88,849,301,776/135,972
  6. Step 6: Final answer
    x = 653,438.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.