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Finding the Third Proportional to 114,564.38 and 251,272.13

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Solution

The third proportional to 114,564.38 and 251,272.13 is: 551,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,564.38 : 251,272.13 = 251,272.13 : x
  2. Step 2: Convert to fraction form
    114,564.38/251,272.13 = 251,272.13/x
  3. Step 3: Cross multiply
    114,564.38x = 251,272.13 × 251,272.13
  4. Step 4: Simplify right side
    114,564.38x = 63,137,680,802.02
  5. Step 5: Solve for x
    x = 63,137,680,802.02/114,564.38
  6. Step 6: Final answer
    x = 551,110.94

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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.