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Finding the Third Proportional to 438,007.50 and 971,129.25

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Solution

The third proportional to 438,007.50 and 971,129.25 is: 2,153,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,007.50 : 971,129.25 = 971,129.25 : x
  2. Step 2: Convert to fraction form
    438,007.50/971,129.25 = 971,129.25/x
  3. Step 3: Cross multiply
    438,007.50x = 971,129.25 × 971,129.25
  4. Step 4: Simplify right side
    438,007.50x = 943,092,020,205.56
  5. Step 5: Solve for x
    x = 943,092,020,205.56/438,007.50
  6. Step 6: Final answer
    x = 2,153,141.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.