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Finding the Third Proportional to 313,348.50 and 643,287

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Solution

The third proportional to 313,348.50 and 643,287 is: 1,320,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,348.50 : 643,287 = 643,287 : x
  2. Step 2: Convert to fraction form
    313,348.50/643,287 = 643,287/x
  3. Step 3: Cross multiply
    313,348.50x = 643,287 × 643,287
  4. Step 4: Simplify right side
    313,348.50x = 413,818,164,369
  5. Step 5: Solve for x
    x = 413,818,164,369/313,348.50
  6. Step 6: Final answer
    x = 1,320,632.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.