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Finding the Third Proportional to 412,114.50 and 868,509

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Solution

The third proportional to 412,114.50 and 868,509 is: 1,830,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,114.50 : 868,509 = 868,509 : x
  2. Step 2: Convert to fraction form
    412,114.50/868,509 = 868,509/x
  3. Step 3: Cross multiply
    412,114.50x = 868,509 × 868,509
  4. Step 4: Simplify right side
    412,114.50x = 754,307,883,081
  5. Step 5: Solve for x
    x = 754,307,883,081/412,114.50
  6. Step 6: Final answer
    x = 1,830,335.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.