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Finding the Third Proportional to 840,100.50 and 1,275,733.13

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Solution

The third proportional to 840,100.50 and 1,275,733.13 is: 1,937,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,100.50 : 1,275,733.13 = 1,275,733.13 : x
  2. Step 2: Convert to fraction form
    840,100.50/1,275,733.13 = 1,275,733.13/x
  3. Step 3: Cross multiply
    840,100.50x = 1,275,733.13 × 1,275,733.13
  4. Step 4: Simplify right side
    840,100.50x = 1,627,495,006,222.27
  5. Step 5: Solve for x
    x = 1,627,495,006,222.27/840,100.50
  6. Step 6: Final answer
    x = 1,937,262.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.