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Finding the Third Proportional to 677,680 and 1,473,403

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Solution

The third proportional to 677,680 and 1,473,403 is: 3,203,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,680 : 1,473,403 = 1,473,403 : x
  2. Step 2: Convert to fraction form
    677,680/1,473,403 = 1,473,403/x
  3. Step 3: Cross multiply
    677,680x = 1,473,403 × 1,473,403
  4. Step 4: Simplify right side
    677,680x = 2,170,916,400,409
  5. Step 5: Solve for x
    x = 2,170,916,400,409/677,680
  6. Step 6: Final answer
    x = 3,203,453.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.