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Finding the Third Proportional to 372,850 and 559,315

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Solution

The third proportional to 372,850 and 559,315 is: 839,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,850 : 559,315 = 559,315 : x
  2. Step 2: Convert to fraction form
    372,850/559,315 = 559,315/x
  3. Step 3: Cross multiply
    372,850x = 559,315 × 559,315
  4. Step 4: Simplify right side
    372,850x = 312,833,269,225
  5. Step 5: Solve for x
    x = 312,833,269,225/372,850
  6. Step 6: Final answer
    x = 839,032.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.