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Finding the Third Proportional to 172,680,087 and 265,689,660.75

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Solution

The third proportional to 172,680,087 and 265,689,660.75 is: 408,796,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,680,087 : 265,689,660.75 = 265,689,660.75 : x
  2. Step 2: Convert to fraction form
    172,680,087/265,689,660.75 = 265,689,660.75/x
  3. Step 3: Cross multiply
    172,680,087x = 265,689,660.75 × 265,689,660.75
  4. Step 4: Simplify right side
    172,680,087x = 70,590,995,829,450,088
  5. Step 5: Solve for x
    x = 70,590,995,829,450,088/172,680,087
  6. Step 6: Final answer
    x = 408,796,387.91

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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.