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Finding the Third Proportional to 429,192 and 638,712

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Solution

The third proportional to 429,192 and 638,712 is: 950,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,192 : 638,712 = 638,712 : x
  2. Step 2: Convert to fraction form
    429,192/638,712 = 638,712/x
  3. Step 3: Cross multiply
    429,192x = 638,712 × 638,712
  4. Step 4: Simplify right side
    429,192x = 407,953,018,944
  5. Step 5: Solve for x
    x = 407,953,018,944/429,192
  6. Step 6: Final answer
    x = 950,514.03

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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.