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Finding the Third Proportional to 630,675 and 1,378,718

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Solution

The third proportional to 630,675 and 1,378,718 is: 3,014,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,675 : 1,378,718 = 1,378,718 : x
  2. Step 2: Convert to fraction form
    630,675/1,378,718 = 1,378,718/x
  3. Step 3: Cross multiply
    630,675x = 1,378,718 × 1,378,718
  4. Step 4: Simplify right side
    630,675x = 1,900,863,323,524
  5. Step 5: Solve for x
    x = 1,900,863,323,524/630,675
  6. Step 6: Final answer
    x = 3,014,014.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.