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Finding the Third Proportional to 6,385,100.50 and 14,187,377

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Solution

The third proportional to 6,385,100.50 and 14,187,377 is: 31,523,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385,100.50 : 14,187,377 = 14,187,377 : x
  2. Step 2: Convert to fraction form
    6,385,100.50/14,187,377 = 14,187,377/x
  3. Step 3: Cross multiply
    6,385,100.50x = 14,187,377 × 14,187,377
  4. Step 4: Simplify right side
    6,385,100.50x = 201,281,666,140,129
  5. Step 5: Solve for x
    x = 201,281,666,140,129/6,385,100.50
  6. Step 6: Final answer
    x = 31,523,648.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.