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Finding the Third Proportional to 8,681,608 and 12,771,473

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Solution

The third proportional to 8,681,608 and 12,771,473 is: 18,788,054.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681,608 : 12,771,473 = 12,771,473 : x
  2. Step 2: Convert to fraction form
    8,681,608/12,771,473 = 12,771,473/x
  3. Step 3: Cross multiply
    8,681,608x = 12,771,473 × 12,771,473
  4. Step 4: Simplify right side
    8,681,608x = 163,110,522,589,729
  5. Step 5: Solve for x
    x = 163,110,522,589,729/8,681,608
  6. Step 6: Final answer
    x = 18,788,054.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.