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Finding the Third Proportional to 311,187,658.50 and 634,875,113.25

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Solution

The third proportional to 311,187,658.50 and 634,875,113.25 is: 1,295,251,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,187,658.50 : 634,875,113.25 = 634,875,113.25 : x
  2. Step 2: Convert to fraction form
    311,187,658.50/634,875,113.25 = 634,875,113.25/x
  3. Step 3: Cross multiply
    311,187,658.50x = 634,875,113.25 × 634,875,113.25
  4. Step 4: Simplify right side
    311,187,658.50x = 403,066,409,424,200,320
  5. Step 5: Solve for x
    x = 403,066,409,424,200,320/311,187,658.50
  6. Step 6: Final answer
    x = 1,295,251,911.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.