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Finding the Third Proportional to 8,549,397 and 12,781,422

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Solution

The third proportional to 8,549,397 and 12,781,422 is: 19,108,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549,397 : 12,781,422 = 12,781,422 : x
  2. Step 2: Convert to fraction form
    8,549,397/12,781,422 = 12,781,422/x
  3. Step 3: Cross multiply
    8,549,397x = 12,781,422 × 12,781,422
  4. Step 4: Simplify right side
    8,549,397x = 163,364,748,342,084
  5. Step 5: Solve for x
    x = 163,364,748,342,084/8,549,397
  6. Step 6: Final answer
    x = 19,108,335.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.