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Finding the Third Proportional to 82,270,784 and 120,377,725.50

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Solution

The third proportional to 82,270,784 and 120,377,725.50 is: 176,135,392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,270,784 : 120,377,725.50 = 120,377,725.50 : x
  2. Step 2: Convert to fraction form
    82,270,784/120,377,725.50 = 120,377,725.50/x
  3. Step 3: Cross multiply
    82,270,784x = 120,377,725.50 × 120,377,725.50
  4. Step 4: Simplify right side
    82,270,784x = 14,490,796,796,553,350
  5. Step 5: Solve for x
    x = 14,490,796,796,553,350/82,270,784
  6. Step 6: Final answer
    x = 176,135,392.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.