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Finding the Third Proportional to 128,752.50 and 266,415

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Solution

The third proportional to 128,752.50 and 266,415 is: 551,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,752.50 : 266,415 = 266,415 : x
  2. Step 2: Convert to fraction form
    128,752.50/266,415 = 266,415/x
  3. Step 3: Cross multiply
    128,752.50x = 266,415 × 266,415
  4. Step 4: Simplify right side
    128,752.50x = 70,976,952,225
  5. Step 5: Solve for x
    x = 70,976,952,225/128,752.50
  6. Step 6: Final answer
    x = 551,266.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.