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Finding the Third Proportional to 82,218,452,472 and 130,825,720,728

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Solution

The third proportional to 82,218,452,472 and 130,825,720,728 is: 208,169,439,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,218,452,472 : 130,825,720,728 = 130,825,720,728 : x
  2. Step 2: Convert to fraction form
    82,218,452,472/130,825,720,728 = 130,825,720,728/x
  3. Step 3: Cross multiply
    82,218,452,472x = 130,825,720,728 × 130,825,720,728
  4. Step 4: Simplify right side
    82,218,452,472x = 17,115,369,204,000,648,855,552
  5. Step 5: Solve for x
    x = 17,115,369,204,000,648,855,552/82,218,452,472
  6. Step 6: Final answer
    x = 208,169,439,942.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.