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Finding the Third Proportional to 646,288 and 1,398,560

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Solution

The third proportional to 646,288 and 1,398,560 is: 3,026,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,288 : 1,398,560 = 1,398,560 : x
  2. Step 2: Convert to fraction form
    646,288/1,398,560 = 1,398,560/x
  3. Step 3: Cross multiply
    646,288x = 1,398,560 × 1,398,560
  4. Step 4: Simplify right side
    646,288x = 1,955,970,073,600
  5. Step 5: Solve for x
    x = 1,955,970,073,600/646,288
  6. Step 6: Final answer
    x = 3,026,468.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.