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Finding the Third Proportional to 286,691 and 400,984.50

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Solution

The third proportional to 286,691 and 400,984.50 is: 560,842.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,691 : 400,984.50 = 400,984.50 : x
  2. Step 2: Convert to fraction form
    286,691/400,984.50 = 400,984.50/x
  3. Step 3: Cross multiply
    286,691x = 400,984.50 × 400,984.50
  4. Step 4: Simplify right side
    286,691x = 160,788,569,240.25
  5. Step 5: Solve for x
    x = 160,788,569,240.25/286,691
  6. Step 6: Final answer
    x = 560,842.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.