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Finding the Third Proportional to 8,461,530 and 12,890,689

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Solution

The third proportional to 8,461,530 and 12,890,689 is: 19,638,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461,530 : 12,890,689 = 12,890,689 : x
  2. Step 2: Convert to fraction form
    8,461,530/12,890,689 = 12,890,689/x
  3. Step 3: Cross multiply
    8,461,530x = 12,890,689 × 12,890,689
  4. Step 4: Simplify right side
    8,461,530x = 166,169,862,894,721
  5. Step 5: Solve for x
    x = 166,169,862,894,721/8,461,530
  6. Step 6: Final answer
    x = 19,638,276.16

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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.