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Finding the Third Proportional to 153,459 and 333,481

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Solution

The third proportional to 153,459 and 333,481 is: 724,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,459 : 333,481 = 333,481 : x
  2. Step 2: Convert to fraction form
    153,459/333,481 = 333,481/x
  3. Step 3: Cross multiply
    153,459x = 333,481 × 333,481
  4. Step 4: Simplify right side
    153,459x = 111,209,577,361
  5. Step 5: Solve for x
    x = 111,209,577,361/153,459
  6. Step 6: Final answer
    x = 724,685.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.