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Finding the Third Proportional to 8,657,642 and 13,708,419

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Solution

The third proportional to 8,657,642 and 13,708,419 is: 21,705,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657,642 : 13,708,419 = 13,708,419 : x
  2. Step 2: Convert to fraction form
    8,657,642/13,708,419 = 13,708,419/x
  3. Step 3: Cross multiply
    8,657,642x = 13,708,419 × 13,708,419
  4. Step 4: Simplify right side
    8,657,642x = 187,920,751,479,561
  5. Step 5: Solve for x
    x = 187,920,751,479,561/8,657,642
  6. Step 6: Final answer
    x = 21,705,766.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.