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Finding the Third Proportional to 147,726.75 and 242,702.25

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Solution

The third proportional to 147,726.75 and 242,702.25 is: 398,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,726.75 : 242,702.25 = 242,702.25 : x
  2. Step 2: Convert to fraction form
    147,726.75/242,702.25 = 242,702.25/x
  3. Step 3: Cross multiply
    147,726.75x = 242,702.25 × 242,702.25
  4. Step 4: Simplify right side
    147,726.75x = 58,904,382,155.06
  5. Step 5: Solve for x
    x = 58,904,382,155.06/147,726.75
  6. Step 6: Final answer
    x = 398,738.77

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.