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Finding the Third Proportional to 644,235 and 1,373,784

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Solution

The third proportional to 644,235 and 1,373,784 is: 2,929,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,235 : 1,373,784 = 1,373,784 : x
  2. Step 2: Convert to fraction form
    644,235/1,373,784 = 1,373,784/x
  3. Step 3: Cross multiply
    644,235x = 1,373,784 × 1,373,784
  4. Step 4: Simplify right side
    644,235x = 1,887,282,478,656
  5. Step 5: Solve for x
    x = 1,887,282,478,656/644,235
  6. Step 6: Final answer
    x = 2,929,493.86

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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.