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Finding the Third Proportional to 295,314 and 647,830

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Solution

The third proportional to 295,314 and 647,830 is: 1,421,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,314 : 647,830 = 647,830 : x
  2. Step 2: Convert to fraction form
    295,314/647,830 = 647,830/x
  3. Step 3: Cross multiply
    295,314x = 647,830 × 647,830
  4. Step 4: Simplify right side
    295,314x = 419,683,708,900
  5. Step 5: Solve for x
    x = 419,683,708,900/295,314
  6. Step 6: Final answer
    x = 1,421,143.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.