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Finding the Third Proportional to 138,725,082 and 288,926,811

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Solution

The third proportional to 138,725,082 and 288,926,811 is: 601,756,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,725,082 : 288,926,811 = 288,926,811 : x
  2. Step 2: Convert to fraction form
    138,725,082/288,926,811 = 288,926,811/x
  3. Step 3: Cross multiply
    138,725,082x = 288,926,811 × 288,926,811
  4. Step 4: Simplify right side
    138,725,082x = 83,478,702,114,629,728
  5. Step 5: Solve for x
    x = 83,478,702,114,629,728/138,725,082
  6. Step 6: Final answer
    x = 601,756,372.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.