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Finding the Third Proportional to 4,200,918 and 6,517,385

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Solution

The third proportional to 4,200,918 and 6,517,385 is: 10,111,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200,918 : 6,517,385 = 6,517,385 : x
  2. Step 2: Convert to fraction form
    4,200,918/6,517,385 = 6,517,385/x
  3. Step 3: Cross multiply
    4,200,918x = 6,517,385 × 6,517,385
  4. Step 4: Simplify right side
    4,200,918x = 42,476,307,238,225
  5. Step 5: Solve for x
    x = 42,476,307,238,225/4,200,918
  6. Step 6: Final answer
    x = 10,111,196.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.