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Finding the Third Proportional to 67,971.38 and 145,787.63

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Solution

The third proportional to 67,971.38 and 145,787.63 is: 312,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,971.38 : 145,787.63 = 145,787.63 : x
  2. Step 2: Convert to fraction form
    67,971.38/145,787.63 = 145,787.63/x
  3. Step 3: Cross multiply
    67,971.38x = 145,787.63 × 145,787.63
  4. Step 4: Simplify right side
    67,971.38x = 21,254,031,603.14
  5. Step 5: Solve for x
    x = 21,254,031,603.14/67,971.38
  6. Step 6: Final answer
    x = 312,690.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.