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Finding the Third Proportional to 128,115 and 272,862

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Solution

The third proportional to 128,115 and 272,862 is: 581,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,115 : 272,862 = 272,862 : x
  2. Step 2: Convert to fraction form
    128,115/272,862 = 272,862/x
  3. Step 3: Cross multiply
    128,115x = 272,862 × 272,862
  4. Step 4: Simplify right side
    128,115x = 74,453,671,044
  5. Step 5: Solve for x
    x = 74,453,671,044/128,115
  6. Step 6: Final answer
    x = 581,147.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.