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Finding the Third Proportional to 369,700.50 and 595,213.50

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Solution

The third proportional to 369,700.50 and 595,213.50 is: 958,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,700.50 : 595,213.50 = 595,213.50 : x
  2. Step 2: Convert to fraction form
    369,700.50/595,213.50 = 595,213.50/x
  3. Step 3: Cross multiply
    369,700.50x = 595,213.50 × 595,213.50
  4. Step 4: Simplify right side
    369,700.50x = 354,279,110,582.25
  5. Step 5: Solve for x
    x = 354,279,110,582.25/369,700.50
  6. Step 6: Final answer
    x = 958,286.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.