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Finding the Third Proportional to 413,254.69 and 638,306.16

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Solution

The third proportional to 413,254.69 and 638,306.16 is: 985,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,254.69 : 638,306.16 = 638,306.16 : x
  2. Step 2: Convert to fraction form
    413,254.69/638,306.16 = 638,306.16/x
  3. Step 3: Cross multiply
    413,254.69x = 638,306.16 × 638,306.16
  4. Step 4: Simplify right side
    413,254.69x = 407,434,749,106.65
  5. Step 5: Solve for x
    x = 407,434,749,106.65/413,254.69
  6. Step 6: Final answer
    x = 985,916.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.