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Finding the Third Proportional to 253,217 and 400,967

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Solution

The third proportional to 253,217 and 400,967 is: 634,927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,217 : 400,967 = 400,967 : x
  2. Step 2: Convert to fraction form
    253,217/400,967 = 400,967/x
  3. Step 3: Cross multiply
    253,217x = 400,967 × 400,967
  4. Step 4: Simplify right side
    253,217x = 160,774,535,089
  5. Step 5: Solve for x
    x = 160,774,535,089/253,217
  6. Step 6: Final answer
    x = 634,927.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.