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Finding the Third Proportional to 388,446 and 610,382

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Solution

The third proportional to 388,446 and 610,382 is: 959,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,446 : 610,382 = 610,382 : x
  2. Step 2: Convert to fraction form
    388,446/610,382 = 610,382/x
  3. Step 3: Cross multiply
    388,446x = 610,382 × 610,382
  4. Step 4: Simplify right side
    388,446x = 372,566,185,924
  5. Step 5: Solve for x
    x = 372,566,185,924/388,446
  6. Step 6: Final answer
    x = 959,119.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.