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Finding the Third Proportional to 378,134 and 585,792

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Solution

The third proportional to 378,134 and 585,792 is: 907,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,134 : 585,792 = 585,792 : x
  2. Step 2: Convert to fraction form
    378,134/585,792 = 585,792/x
  3. Step 3: Cross multiply
    378,134x = 585,792 × 585,792
  4. Step 4: Simplify right side
    378,134x = 343,152,267,264
  5. Step 5: Solve for x
    x = 343,152,267,264/378,134
  6. Step 6: Final answer
    x = 907,488.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.