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Finding the Third Proportional to 678,981 and 1,488,531

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Solution

The third proportional to 678,981 and 1,488,531 is: 3,263,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,981 : 1,488,531 = 1,488,531 : x
  2. Step 2: Convert to fraction form
    678,981/1,488,531 = 1,488,531/x
  3. Step 3: Cross multiply
    678,981x = 1,488,531 × 1,488,531
  4. Step 4: Simplify right side
    678,981x = 2,215,724,537,961
  5. Step 5: Solve for x
    x = 2,215,724,537,961/678,981
  6. Step 6: Final answer
    x = 3,263,308.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.