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Finding the Third Proportional to 819,581.63 and 1,220,965.31

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Solution

The third proportional to 819,581.63 and 1,220,965.31 is: 1,818,923.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,581.63 : 1,220,965.31 = 1,220,965.31 : x
  2. Step 2: Convert to fraction form
    819,581.63/1,220,965.31 = 1,220,965.31/x
  3. Step 3: Cross multiply
    819,581.63x = 1,220,965.31 × 1,220,965.31
  4. Step 4: Simplify right side
    819,581.63x = 1,490,756,294,328.22
  5. Step 5: Solve for x
    x = 1,490,756,294,328.22/819,581.63
  6. Step 6: Final answer
    x = 1,818,923.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.