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Finding the Third Proportional to 388,869,786 and 568,541,210

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Solution

The third proportional to 388,869,786 and 568,541,210 is: 831,227,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,869,786 : 568,541,210 = 568,541,210 : x
  2. Step 2: Convert to fraction form
    388,869,786/568,541,210 = 568,541,210/x
  3. Step 3: Cross multiply
    388,869,786x = 568,541,210 × 568,541,210
  4. Step 4: Simplify right side
    388,869,786x = 323,239,107,468,264,128
  5. Step 5: Solve for x
    x = 323,239,107,468,264,128/388,869,786
  6. Step 6: Final answer
    x = 831,227,107.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.