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Finding the Third Proportional to 378,130 and 585,785

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Solution

The third proportional to 378,130 and 585,785 is: 907,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,130 : 585,785 = 585,785 : x
  2. Step 2: Convert to fraction form
    378,130/585,785 = 585,785/x
  3. Step 3: Cross multiply
    378,130x = 585,785 × 585,785
  4. Step 4: Simplify right side
    378,130x = 343,144,066,225
  5. Step 5: Solve for x
    x = 343,144,066,225/378,130
  6. Step 6: Final answer
    x = 907,476.44

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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.