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Finding the Third Proportional to 276,598.13 and 413,128.69

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Solution

The third proportional to 276,598.13 and 413,128.69 is: 617,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,598.13 : 413,128.69 = 413,128.69 : x
  2. Step 2: Convert to fraction form
    276,598.13/413,128.69 = 413,128.69/x
  3. Step 3: Cross multiply
    276,598.13x = 413,128.69 × 413,128.69
  4. Step 4: Simplify right side
    276,598.13x = 170,675,312,435.47
  5. Step 5: Solve for x
    x = 170,675,312,435.47/276,598.13
  6. Step 6: Final answer
    x = 617,051.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.