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Finding the Third Proportional to 155,459 and 411,440

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Solution

The third proportional to 155,459 and 411,440 is: 1,088,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,459 : 411,440 = 411,440 : x
  2. Step 2: Convert to fraction form
    155,459/411,440 = 411,440/x
  3. Step 3: Cross multiply
    155,459x = 411,440 × 411,440
  4. Step 4: Simplify right side
    155,459x = 169,282,873,600
  5. Step 5: Solve for x
    x = 169,282,873,600/155,459
  6. Step 6: Final answer
    x = 1,088,922.95

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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.