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Finding the Third Proportional to 644,976 and 1,506,120

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Solution

The third proportional to 644,976 and 1,506,120 is: 3,517,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,976 : 1,506,120 = 1,506,120 : x
  2. Step 2: Convert to fraction form
    644,976/1,506,120 = 1,506,120/x
  3. Step 3: Cross multiply
    644,976x = 1,506,120 × 1,506,120
  4. Step 4: Simplify right side
    644,976x = 2,268,397,454,400
  5. Step 5: Solve for x
    x = 2,268,397,454,400/644,976
  6. Step 6: Final answer
    x = 3,517,026.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.