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Finding the Third Proportional to 265,746 and 388,387

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Solution

The third proportional to 265,746 and 388,387 is: 567,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,746 : 388,387 = 388,387 : x
  2. Step 2: Convert to fraction form
    265,746/388,387 = 388,387/x
  3. Step 3: Cross multiply
    265,746x = 388,387 × 388,387
  4. Step 4: Simplify right side
    265,746x = 150,844,461,769
  5. Step 5: Solve for x
    x = 150,844,461,769/265,746
  6. Step 6: Final answer
    x = 567,626.46

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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.