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Finding the Third Proportional to 69,295 and 148,432

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Solution

The third proportional to 69,295 and 148,432 is: 317,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,295 : 148,432 = 148,432 : x
  2. Step 2: Convert to fraction form
    69,295/148,432 = 148,432/x
  3. Step 3: Cross multiply
    69,295x = 148,432 × 148,432
  4. Step 4: Simplify right side
    69,295x = 22,032,058,624
  5. Step 5: Solve for x
    x = 22,032,058,624/69,295
  6. Step 6: Final answer
    x = 317,945.86

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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.