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Finding the Third Proportional to 421,930 and 563,626.50

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Solution

The third proportional to 421,930 and 563,626.50 is: 752,908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,930 : 563,626.50 = 563,626.50 : x
  2. Step 2: Convert to fraction form
    421,930/563,626.50 = 563,626.50/x
  3. Step 3: Cross multiply
    421,930x = 563,626.50 × 563,626.50
  4. Step 4: Simplify right side
    421,930x = 317,674,831,502.25
  5. Step 5: Solve for x
    x = 317,674,831,502.25/421,930
  6. Step 6: Final answer
    x = 752,908.85

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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.