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Finding the Third Proportional to 8,254,971 and 12,507,115.50

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Solution

The third proportional to 8,254,971 and 12,507,115.50 is: 18,949,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254,971 : 12,507,115.50 = 12,507,115.50 : x
  2. Step 2: Convert to fraction form
    8,254,971/12,507,115.50 = 12,507,115.50/x
  3. Step 3: Cross multiply
    8,254,971x = 12,507,115.50 × 12,507,115.50
  4. Step 4: Simplify right side
    8,254,971x = 156,427,938,130,340.25
  5. Step 5: Solve for x
    x = 156,427,938,130,340.25/8,254,971
  6. Step 6: Final answer
    x = 18,949,544.24

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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.