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Finding the Third Proportional to 452,118.75 and 975,223.13

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Solution

The third proportional to 452,118.75 and 975,223.13 is: 2,103,562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,118.75 : 975,223.13 = 975,223.13 : x
  2. Step 2: Convert to fraction form
    452,118.75/975,223.13 = 975,223.13/x
  3. Step 3: Cross multiply
    452,118.75x = 975,223.13 × 975,223.13
  4. Step 4: Simplify right side
    452,118.75x = 951,060,143,534.77
  5. Step 5: Solve for x
    x = 951,060,143,534.77/452,118.75
  6. Step 6: Final answer
    x = 2,103,562.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.