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Finding the Third Proportional to 646,386 and 1,396,020

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Solution

The third proportional to 646,386 and 1,396,020 is: 3,015,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,386 : 1,396,020 = 1,396,020 : x
  2. Step 2: Convert to fraction form
    646,386/1,396,020 = 1,396,020/x
  3. Step 3: Cross multiply
    646,386x = 1,396,020 × 1,396,020
  4. Step 4: Simplify right side
    646,386x = 1,948,871,840,400
  5. Step 5: Solve for x
    x = 1,948,871,840,400/646,386
  6. Step 6: Final answer
    x = 3,015,027.93

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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.