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Finding the Third Proportional to 221,950,732.50 and 310,300,186.50

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Solution

The third proportional to 221,950,732.50 and 310,300,186.50 is: 433,817,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,950,732.50 : 310,300,186.50 = 310,300,186.50 : x
  2. Step 2: Convert to fraction form
    221,950,732.50/310,300,186.50 = 310,300,186.50/x
  3. Step 3: Cross multiply
    221,950,732.50x = 310,300,186.50 × 310,300,186.50
  4. Step 4: Simplify right side
    221,950,732.50x = 96,286,205,741,934,784
  5. Step 5: Solve for x
    x = 96,286,205,741,934,784/221,950,732.50
  6. Step 6: Final answer
    x = 433,817,922.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.