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Finding the Third Proportional to 392,392.50 and 607,461.75

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Solution

The third proportional to 392,392.50 and 607,461.75 is: 940,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,392.50 : 607,461.75 = 607,461.75 : x
  2. Step 2: Convert to fraction form
    392,392.50/607,461.75 = 607,461.75/x
  3. Step 3: Cross multiply
    392,392.50x = 607,461.75 × 607,461.75
  4. Step 4: Simplify right side
    392,392.50x = 369,009,777,713.06
  5. Step 5: Solve for x
    x = 369,009,777,713.06/392,392.50
  6. Step 6: Final answer
    x = 940,409.86

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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.