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Finding the Third Proportional to 421,992 and 563,712

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Solution

The third proportional to 421,992 and 563,712 is: 753,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,992 : 563,712 = 563,712 : x
  2. Step 2: Convert to fraction form
    421,992/563,712 = 563,712/x
  3. Step 3: Cross multiply
    421,992x = 563,712 × 563,712
  4. Step 4: Simplify right side
    421,992x = 317,771,218,944
  5. Step 5: Solve for x
    x = 317,771,218,944/421,992
  6. Step 6: Final answer
    x = 753,026.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.