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Finding the Third Proportional to 399,116.25 and 602,821.50

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Solution

The third proportional to 399,116.25 and 602,821.50 is: 910,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,116.25 : 602,821.50 = 602,821.50 : x
  2. Step 2: Convert to fraction form
    399,116.25/602,821.50 = 602,821.50/x
  3. Step 3: Cross multiply
    399,116.25x = 602,821.50 × 602,821.50
  4. Step 4: Simplify right side
    399,116.25x = 363,393,760,862.25
  5. Step 5: Solve for x
    x = 363,393,760,862.25/399,116.25
  6. Step 6: Final answer
    x = 910,496.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.