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Finding the Third Proportional to 294,910 and 639,752

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Solution

The third proportional to 294,910 and 639,752 is: 1,387,822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,910 : 639,752 = 639,752 : x
  2. Step 2: Convert to fraction form
    294,910/639,752 = 639,752/x
  3. Step 3: Cross multiply
    294,910x = 639,752 × 639,752
  4. Step 4: Simplify right side
    294,910x = 409,282,621,504
  5. Step 5: Solve for x
    x = 409,282,621,504/294,910
  6. Step 6: Final answer
    x = 1,387,822.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.