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Finding the Third Proportional to 289,390 and 452,608

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Solution

The third proportional to 289,390 and 452,608 is: 707,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,390 : 452,608 = 452,608 : x
  2. Step 2: Convert to fraction form
    289,390/452,608 = 452,608/x
  3. Step 3: Cross multiply
    289,390x = 452,608 × 452,608
  4. Step 4: Simplify right side
    289,390x = 204,854,001,664
  5. Step 5: Solve for x
    x = 204,854,001,664/289,390
  6. Step 6: Final answer
    x = 707,882.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.