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Finding the Third Proportional to 291,792 and 440,712

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Solution

The third proportional to 291,792 and 440,712 is: 665,635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,792 : 440,712 = 440,712 : x
  2. Step 2: Convert to fraction form
    291,792/440,712 = 440,712/x
  3. Step 3: Cross multiply
    291,792x = 440,712 × 440,712
  4. Step 4: Simplify right side
    291,792x = 194,227,066,944
  5. Step 5: Solve for x
    x = 194,227,066,944/291,792
  6. Step 6: Final answer
    x = 665,635.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.