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Finding the Third Proportional to 421,648.50 and 913,281

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Solution

The third proportional to 421,648.50 and 913,281 is: 1,978,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,648.50 : 913,281 = 913,281 : x
  2. Step 2: Convert to fraction form
    421,648.50/913,281 = 913,281/x
  3. Step 3: Cross multiply
    421,648.50x = 913,281 × 913,281
  4. Step 4: Simplify right side
    421,648.50x = 834,082,184,961
  5. Step 5: Solve for x
    x = 834,082,184,961/421,648.50
  6. Step 6: Final answer
    x = 1,978,145.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.