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Finding the Third Proportional to 172,680,082.88 and 265,689,654.19

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Solution

The third proportional to 172,680,082.88 and 265,689,654.19 is: 408,796,377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,680,082.88 : 265,689,654.19 = 265,689,654.19 : x
  2. Step 2: Convert to fraction form
    172,680,082.88/265,689,654.19 = 265,689,654.19/x
  3. Step 3: Cross multiply
    172,680,082.88x = 265,689,654.19 × 265,689,654.19
  4. Step 4: Simplify right side
    172,680,082.88x = 70,590,992,342,273,336
  5. Step 5: Solve for x
    x = 70,590,992,342,273,336/172,680,082.88
  6. Step 6: Final answer
    x = 408,796,377.48

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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.