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Finding the Third Proportional to 398,971.50 and 610,387.50

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Solution

The third proportional to 398,971.50 and 610,387.50 is: 933,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,971.50 : 610,387.50 = 610,387.50 : x
  2. Step 2: Convert to fraction form
    398,971.50/610,387.50 = 610,387.50/x
  3. Step 3: Cross multiply
    398,971.50x = 610,387.50 × 610,387.50
  4. Step 4: Simplify right side
    398,971.50x = 372,572,900,156.25
  5. Step 5: Solve for x
    x = 372,572,900,156.25/398,971.50
  6. Step 6: Final answer
    x = 933,833.37

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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.