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Finding the Third Proportional to 292,424.63 and 428,498.44

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Solution

The third proportional to 292,424.63 and 428,498.44 is: 627,891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,424.63 : 428,498.44 = 428,498.44 : x
  2. Step 2: Convert to fraction form
    292,424.63/428,498.44 = 428,498.44/x
  3. Step 3: Cross multiply
    292,424.63x = 428,498.44 × 428,498.44
  4. Step 4: Simplify right side
    292,424.63x = 183,610,910,939.94
  5. Step 5: Solve for x
    x = 183,610,910,939.94/292,424.63
  6. Step 6: Final answer
    x = 627,891.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.