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Finding the Third Proportional to 399,215.25 and 602,970.75

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Solution

The third proportional to 399,215.25 and 602,970.75 is: 910,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,215.25 : 602,970.75 = 602,970.75 : x
  2. Step 2: Convert to fraction form
    399,215.25/602,970.75 = 602,970.75/x
  3. Step 3: Cross multiply
    399,215.25x = 602,970.75 × 602,970.75
  4. Step 4: Simplify right side
    399,215.25x = 363,573,725,355.56
  5. Step 5: Solve for x
    x = 363,573,725,355.56/399,215.25
  6. Step 6: Final answer
    x = 910,721.03

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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.