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Finding the Third Proportional to 393,663.80 and 610,725.45

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Solution

The third proportional to 393,663.80 and 610,725.45 is: 947,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,663.80 : 610,725.45 = 610,725.45 : x
  2. Step 2: Convert to fraction form
    393,663.80/610,725.45 = 610,725.45/x
  3. Step 3: Cross multiply
    393,663.80x = 610,725.45 × 610,725.45
  4. Step 4: Simplify right side
    393,663.80x = 372,985,569,552.15
  5. Step 5: Solve for x
    x = 372,985,569,552.15/393,663.80
  6. Step 6: Final answer
    x = 947,472.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.