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Finding the Third Proportional to 429,048 and 631,179

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Solution

The third proportional to 429,048 and 631,179 is: 928,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,048 : 631,179 = 631,179 : x
  2. Step 2: Convert to fraction form
    429,048/631,179 = 631,179/x
  3. Step 3: Cross multiply
    429,048x = 631,179 × 631,179
  4. Step 4: Simplify right side
    429,048x = 398,386,930,041
  5. Step 5: Solve for x
    x = 398,386,930,041/429,048
  6. Step 6: Final answer
    x = 928,536.97

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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.