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Finding the Third Proportional to 421,937 and 563,637

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Solution

The third proportional to 421,937 and 563,637 is: 752,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,937 : 563,637 = 563,637 : x
  2. Step 2: Convert to fraction form
    421,937/563,637 = 563,637/x
  3. Step 3: Cross multiply
    421,937x = 563,637 × 563,637
  4. Step 4: Simplify right side
    421,937x = 317,686,667,769
  5. Step 5: Solve for x
    x = 317,686,667,769/421,937
  6. Step 6: Final answer
    x = 752,924.41

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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.