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Finding the Third Proportional to 289,990.13 and 636,715.69

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Solution

The third proportional to 289,990.13 and 636,715.69 is: 1,398,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,990.13 : 636,715.69 = 636,715.69 : x
  2. Step 2: Convert to fraction form
    289,990.13/636,715.69 = 636,715.69/x
  3. Step 3: Cross multiply
    289,990.13x = 636,715.69 × 636,715.69
  4. Step 4: Simplify right side
    289,990.13x = 405,406,866,708.60
  5. Step 5: Solve for x
    x = 405,406,866,708.60/289,990.13
  6. Step 6: Final answer
    x = 1,398,002.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.