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Finding the Third Proportional to 515,154 and 1,121,830

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Solution

The third proportional to 515,154 and 1,121,830 is: 2,442,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,154 : 1,121,830 = 1,121,830 : x
  2. Step 2: Convert to fraction form
    515,154/1,121,830 = 1,121,830/x
  3. Step 3: Cross multiply
    515,154x = 1,121,830 × 1,121,830
  4. Step 4: Simplify right side
    515,154x = 1,258,502,548,900
  5. Step 5: Solve for x
    x = 1,258,502,548,900/515,154
  6. Step 6: Final answer
    x = 2,442,963.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.