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Finding the Third Proportional to 78,037.25 and 171,264.25

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Solution

The third proportional to 78,037.25 and 171,264.25 is: 375,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,037.25 : 171,264.25 = 171,264.25 : x
  2. Step 2: Convert to fraction form
    78,037.25/171,264.25 = 171,264.25/x
  3. Step 3: Cross multiply
    78,037.25x = 171,264.25 × 171,264.25
  4. Step 4: Simplify right side
    78,037.25x = 29,331,443,328.06
  5. Step 5: Solve for x
    x = 29,331,443,328.06/78,037.25
  6. Step 6: Final answer
    x = 375,864.65

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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.