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Finding the Third Proportional to 630,408 and 1,349,376

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Solution

The third proportional to 630,408 and 1,349,376 is: 2,888,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,408 : 1,349,376 = 1,349,376 : x
  2. Step 2: Convert to fraction form
    630,408/1,349,376 = 1,349,376/x
  3. Step 3: Cross multiply
    630,408x = 1,349,376 × 1,349,376
  4. Step 4: Simplify right side
    630,408x = 1,820,815,589,376
  5. Step 5: Solve for x
    x = 1,820,815,589,376/630,408
  6. Step 6: Final answer
    x = 2,888,312.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.