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Finding the Third Proportional to 133,574,335.88 and 204,334,098.19

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Solution

The third proportional to 133,574,335.88 and 204,334,098.19 is: 312,578,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,574,335.88 : 204,334,098.19 = 204,334,098.19 : x
  2. Step 2: Convert to fraction form
    133,574,335.88/204,334,098.19 = 204,334,098.19/x
  3. Step 3: Cross multiply
    133,574,335.88x = 204,334,098.19 × 204,334,098.19
  4. Step 4: Simplify right side
    133,574,335.88x = 41,752,423,682,098,888
  5. Step 5: Solve for x
    x = 41,752,423,682,098,888/133,574,335.88
  6. Step 6: Final answer
    x = 312,578,186.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.