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Finding the Third Proportional to 8,461,080 and 12,889,904

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Solution

The third proportional to 8,461,080 and 12,889,904 is: 19,636,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461,080 : 12,889,904 = 12,889,904 : x
  2. Step 2: Convert to fraction form
    8,461,080/12,889,904 = 12,889,904/x
  3. Step 3: Cross multiply
    8,461,080x = 12,889,904 × 12,889,904
  4. Step 4: Simplify right side
    8,461,080x = 166,149,625,129,216
  5. Step 5: Solve for x
    x = 166,149,625,129,216/8,461,080
  6. Step 6: Final answer
    x = 19,636,928.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.