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Finding the Third Proportional to 643,460 and 1,270,754

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Solution

The third proportional to 643,460 and 1,270,754 is: 2,509,582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,460 : 1,270,754 = 1,270,754 : x
  2. Step 2: Convert to fraction form
    643,460/1,270,754 = 1,270,754/x
  3. Step 3: Cross multiply
    643,460x = 1,270,754 × 1,270,754
  4. Step 4: Simplify right side
    643,460x = 1,614,815,728,516
  5. Step 5: Solve for x
    x = 1,614,815,728,516/643,460
  6. Step 6: Final answer
    x = 2,509,582.15

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.