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Finding the Third Proportional to 684,669 and 1,390,074

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Solution

The third proportional to 684,669 and 1,390,074 is: 2,822,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,669 : 1,390,074 = 1,390,074 : x
  2. Step 2: Convert to fraction form
    684,669/1,390,074 = 1,390,074/x
  3. Step 3: Cross multiply
    684,669x = 1,390,074 × 1,390,074
  4. Step 4: Simplify right side
    684,669x = 1,932,305,725,476
  5. Step 5: Solve for x
    x = 1,932,305,725,476/684,669
  6. Step 6: Final answer
    x = 2,822,248.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.