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Finding the Third Proportional to 125,218 and 278,428

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Solution

The third proportional to 125,218 and 278,428 is: 619,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,218 : 278,428 = 278,428 : x
  2. Step 2: Convert to fraction form
    125,218/278,428 = 278,428/x
  3. Step 3: Cross multiply
    125,218x = 278,428 × 278,428
  4. Step 4: Simplify right side
    125,218x = 77,522,151,184
  5. Step 5: Solve for x
    x = 77,522,151,184/125,218
  6. Step 6: Final answer
    x = 619,097.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.