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Finding the Third Proportional to 274,018 and 429,959

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Solution

The third proportional to 274,018 and 429,959 is: 674,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,018 : 429,959 = 429,959 : x
  2. Step 2: Convert to fraction form
    274,018/429,959 = 429,959/x
  3. Step 3: Cross multiply
    274,018x = 429,959 × 429,959
  4. Step 4: Simplify right side
    274,018x = 184,864,741,681
  5. Step 5: Solve for x
    x = 184,864,741,681/274,018
  6. Step 6: Final answer
    x = 674,644.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.