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Finding the Third Proportional to 388,035 and 579,663

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Solution

The third proportional to 388,035 and 579,663 is: 865,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,035 : 579,663 = 579,663 : x
  2. Step 2: Convert to fraction form
    388,035/579,663 = 579,663/x
  3. Step 3: Cross multiply
    388,035x = 579,663 × 579,663
  4. Step 4: Simplify right side
    388,035x = 336,009,193,569
  5. Step 5: Solve for x
    x = 336,009,193,569/388,035
  6. Step 6: Final answer
    x = 865,924.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.