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Finding the Third Proportional to 261,847.50 and 400,386

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Solution

The third proportional to 261,847.50 and 400,386 is: 612,222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,847.50 : 400,386 = 400,386 : x
  2. Step 2: Convert to fraction form
    261,847.50/400,386 = 400,386/x
  3. Step 3: Cross multiply
    261,847.50x = 400,386 × 400,386
  4. Step 4: Simplify right side
    261,847.50x = 160,308,948,996
  5. Step 5: Solve for x
    x = 160,308,948,996/261,847.50
  6. Step 6: Final answer
    x = 612,222.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.