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Finding the Third Proportional to 137,361 and 289,482

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Solution

The third proportional to 137,361 and 289,482 is: 610,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,361 : 289,482 = 289,482 : x
  2. Step 2: Convert to fraction form
    137,361/289,482 = 289,482/x
  3. Step 3: Cross multiply
    137,361x = 289,482 × 289,482
  4. Step 4: Simplify right side
    137,361x = 83,799,828,324
  5. Step 5: Solve for x
    x = 83,799,828,324/137,361
  6. Step 6: Final answer
    x = 610,070.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.