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Finding the Third Proportional to 8,254,972 and 12,507,117

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Solution

The third proportional to 8,254,972 and 12,507,117 is: 18,949,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254,972 : 12,507,117 = 12,507,117 : x
  2. Step 2: Convert to fraction form
    8,254,972/12,507,117 = 12,507,117/x
  3. Step 3: Cross multiply
    8,254,972x = 12,507,117 × 12,507,117
  4. Step 4: Simplify right side
    8,254,972x = 156,427,975,651,689
  5. Step 5: Solve for x
    x = 156,427,975,651,689/8,254,972
  6. Step 6: Final answer
    x = 18,949,546.49

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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.