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Finding the Third Proportional to 404,285 and 632,312

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Solution

The third proportional to 404,285 and 632,312 is: 988,952.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,285 : 632,312 = 632,312 : x
  2. Step 2: Convert to fraction form
    404,285/632,312 = 632,312/x
  3. Step 3: Cross multiply
    404,285x = 632,312 × 632,312
  4. Step 4: Simplify right side
    404,285x = 399,818,465,344
  5. Step 5: Solve for x
    x = 399,818,465,344/404,285
  6. Step 6: Final answer
    x = 988,952.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.