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Finding the Third Proportional to 646,251.75 and 905,602.50

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Solution

The third proportional to 646,251.75 and 905,602.50 is: 1,269,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,251.75 : 905,602.50 = 905,602.50 : x
  2. Step 2: Convert to fraction form
    646,251.75/905,602.50 = 905,602.50/x
  3. Step 3: Cross multiply
    646,251.75x = 905,602.50 × 905,602.50
  4. Step 4: Simplify right side
    646,251.75x = 820,115,888,006.25
  5. Step 5: Solve for x
    x = 820,115,888,006.25/646,251.75
  6. Step 6: Final answer
    x = 1,269,034.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.