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Finding the Third Proportional to 630,840 and 1,344,261

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Solution

The third proportional to 630,840 and 1,344,261 is: 2,864,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,840 : 1,344,261 = 1,344,261 : x
  2. Step 2: Convert to fraction form
    630,840/1,344,261 = 1,344,261/x
  3. Step 3: Cross multiply
    630,840x = 1,344,261 × 1,344,261
  4. Step 4: Simplify right side
    630,840x = 1,807,037,636,121
  5. Step 5: Solve for x
    x = 1,807,037,636,121/630,840
  6. Step 6: Final answer
    x = 2,864,494.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.