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Finding the Third Proportional to 678,681 and 1,491,853.50

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Solution

The third proportional to 678,681 and 1,491,853.50 is: 3,279,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,681 : 1,491,853.50 = 1,491,853.50 : x
  2. Step 2: Convert to fraction form
    678,681/1,491,853.50 = 1,491,853.50/x
  3. Step 3: Cross multiply
    678,681x = 1,491,853.50 × 1,491,853.50
  4. Step 4: Simplify right side
    678,681x = 2,225,626,865,462.25
  5. Step 5: Solve for x
    x = 2,225,626,865,462.25/678,681
  6. Step 6: Final answer
    x = 3,279,341.64

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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.