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Finding the Third Proportional to 413,283.94 and 638,341.88

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Solution

The third proportional to 413,283.94 and 638,341.88 is: 985,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,283.94 : 638,341.88 = 638,341.88 : x
  2. Step 2: Convert to fraction form
    413,283.94/638,341.88 = 638,341.88/x
  3. Step 3: Cross multiply
    413,283.94x = 638,341.88 × 638,341.88
  4. Step 4: Simplify right side
    413,283.94x = 407,480,349,378.52
  5. Step 5: Solve for x
    x = 407,480,349,378.52/413,283.94
  6. Step 6: Final answer
    x = 985,957.38

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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.