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Finding the Third Proportional to 84,168,332 and 181,120,408

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Solution

The third proportional to 84,168,332 and 181,120,408 is: 389,749,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,168,332 : 181,120,408 = 181,120,408 : x
  2. Step 2: Convert to fraction form
    84,168,332/181,120,408 = 181,120,408/x
  3. Step 3: Cross multiply
    84,168,332x = 181,120,408 × 181,120,408
  4. Step 4: Simplify right side
    84,168,332x = 32,804,602,194,086,464
  5. Step 5: Solve for x
    x = 32,804,602,194,086,464/84,168,332
  6. Step 6: Final answer
    x = 389,749,938.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.