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Finding the Third Proportional to 166,895,136 and 338,506,800

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Solution

The third proportional to 166,895,136 and 338,506,800 is: 686,579,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,895,136 : 338,506,800 = 338,506,800 : x
  2. Step 2: Convert to fraction form
    166,895,136/338,506,800 = 338,506,800/x
  3. Step 3: Cross multiply
    166,895,136x = 338,506,800 × 338,506,800
  4. Step 4: Simplify right side
    166,895,136x = 114,586,853,646,240,000
  5. Step 5: Solve for x
    x = 114,586,853,646,240,000/166,895,136
  6. Step 6: Final answer
    x = 686,579,947.10

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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.