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Finding the Third Proportional to 560,634.75 and 840,775.78

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Solution

The third proportional to 560,634.75 and 840,775.78 is: 1,260,899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,634.75 : 840,775.78 = 840,775.78 : x
  2. Step 2: Convert to fraction form
    560,634.75/840,775.78 = 840,775.78/x
  3. Step 3: Cross multiply
    560,634.75x = 840,775.78 × 840,775.78
  4. Step 4: Simplify right side
    560,634.75x = 706,903,914,336.55
  5. Step 5: Solve for x
    x = 706,903,914,336.55/560,634.75
  6. Step 6: Final answer
    x = 1,260,899.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.