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Finding the Third Proportional to 155,458 and 411,438

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Solution

The third proportional to 155,458 and 411,438 is: 1,088,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,458 : 411,438 = 411,438 : x
  2. Step 2: Convert to fraction form
    155,458/411,438 = 411,438/x
  3. Step 3: Cross multiply
    155,458x = 411,438 × 411,438
  4. Step 4: Simplify right side
    155,458x = 169,281,227,844
  5. Step 5: Solve for x
    x = 169,281,227,844/155,458
  6. Step 6: Final answer
    x = 1,088,919.37

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.