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Finding the Third Proportional to 166,894,872 and 338,506,266

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Solution

The third proportional to 166,894,872 and 338,506,266 is: 686,578,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,894,872 : 338,506,266 = 338,506,266 : x
  2. Step 2: Convert to fraction form
    166,894,872/338,506,266 = 338,506,266/x
  3. Step 3: Cross multiply
    166,894,872x = 338,506,266 × 338,506,266
  4. Step 4: Simplify right side
    166,894,872x = 114,586,492,121,262,752
  5. Step 5: Solve for x
    x = 114,586,492,121,262,752/166,894,872
  6. Step 6: Final answer
    x = 686,578,866.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.