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Finding the Third Proportional to 253,207.69 and 400,952.81

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Solution

The third proportional to 253,207.69 and 400,952.81 is: 634,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,207.69 : 400,952.81 = 400,952.81 : x
  2. Step 2: Convert to fraction form
    253,207.69/400,952.81 = 400,952.81/x
  3. Step 3: Cross multiply
    253,207.69x = 400,952.81 × 400,952.81
  4. Step 4: Simplify right side
    253,207.69x = 160,763,157,851.66
  5. Step 5: Solve for x
    x = 160,763,157,851.66/253,207.69
  6. Step 6: Final answer
    x = 634,906.31

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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.