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Finding the Third Proportional to 6,781,890 and 9,486,222

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Solution

The third proportional to 6,781,890 and 9,486,222 is: 13,268,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781,890 : 9,486,222 = 9,486,222 : x
  2. Step 2: Convert to fraction form
    6,781,890/9,486,222 = 9,486,222/x
  3. Step 3: Cross multiply
    6,781,890x = 9,486,222 × 9,486,222
  4. Step 4: Simplify right side
    6,781,890x = 89,988,407,833,284
  5. Step 5: Solve for x
    x = 89,988,407,833,284/6,781,890
  6. Step 6: Final answer
    x = 13,268,927.66

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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.