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Finding the Third Proportional to 124,810 and 272,948

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Solution

The third proportional to 124,810 and 272,948 is: 596,912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,810 : 272,948 = 272,948 : x
  2. Step 2: Convert to fraction form
    124,810/272,948 = 272,948/x
  3. Step 3: Cross multiply
    124,810x = 272,948 × 272,948
  4. Step 4: Simplify right side
    124,810x = 74,500,610,704
  5. Step 5: Solve for x
    x = 74,500,610,704/124,810
  6. Step 6: Final answer
    x = 596,912.19

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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.