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Finding the Third Proportional to 261,939.09 and 400,426.45

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Solution

The third proportional to 261,939.09 and 400,426.45 is: 612,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,939.09 : 400,426.45 = 400,426.45 : x
  2. Step 2: Convert to fraction form
    261,939.09/400,426.45 = 400,426.45/x
  3. Step 3: Cross multiply
    261,939.09x = 400,426.45 × 400,426.45
  4. Step 4: Simplify right side
    261,939.09x = 160,341,344,362.27
  5. Step 5: Solve for x
    x = 160,341,344,362.27/261,939.09
  6. Step 6: Final answer
    x = 612,132.16

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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.