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Finding the Third Proportional to 84,135,786 and 129,242,871

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Solution

The third proportional to 84,135,786 and 129,242,871 is: 198,532,877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,135,786 : 129,242,871 = 129,242,871 : x
  2. Step 2: Convert to fraction form
    84,135,786/129,242,871 = 129,242,871/x
  3. Step 3: Cross multiply
    84,135,786x = 129,242,871 × 129,242,871
  4. Step 4: Simplify right side
    84,135,786x = 16,703,719,704,322,640
  5. Step 5: Solve for x
    x = 16,703,719,704,322,640/84,135,786
  6. Step 6: Final answer
    x = 198,532,877.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.