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Finding the Third Proportional to 409,527,384.75 and 579,468,843

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Solution

The third proportional to 409,527,384.75 and 579,468,843 is: 819,930,858.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,527,384.75 : 579,468,843 = 579,468,843 : x
  2. Step 2: Convert to fraction form
    409,527,384.75/579,468,843 = 579,468,843/x
  3. Step 3: Cross multiply
    409,527,384.75x = 579,468,843 × 579,468,843
  4. Step 4: Simplify right side
    409,527,384.75x = 335,784,140,007,758,656
  5. Step 5: Solve for x
    x = 335,784,140,007,758,656/409,527,384.75
  6. Step 6: Final answer
    x = 819,930,858.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.