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Finding the Third Proportional to 727,639 and 1,582,688

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Solution

The third proportional to 727,639 and 1,582,688 is: 3,442,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,639 : 1,582,688 = 1,582,688 : x
  2. Step 2: Convert to fraction form
    727,639/1,582,688 = 1,582,688/x
  3. Step 3: Cross multiply
    727,639x = 1,582,688 × 1,582,688
  4. Step 4: Simplify right side
    727,639x = 2,504,901,305,344
  5. Step 5: Solve for x
    x = 2,504,901,305,344/727,639
  6. Step 6: Final answer
    x = 3,442,505.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.