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Finding the Third Proportional to 676,445 and 1,408,858

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Solution

The third proportional to 676,445 and 1,408,858 is: 2,934,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,445 : 1,408,858 = 1,408,858 : x
  2. Step 2: Convert to fraction form
    676,445/1,408,858 = 1,408,858/x
  3. Step 3: Cross multiply
    676,445x = 1,408,858 × 1,408,858
  4. Step 4: Simplify right side
    676,445x = 1,984,880,864,164
  5. Step 5: Solve for x
    x = 1,984,880,864,164/676,445
  6. Step 6: Final answer
    x = 2,934,282.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.