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Finding the Third Proportional to 289,674 and 424,140.75

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Solution

The third proportional to 289,674 and 424,140.75 is: 621,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,674 : 424,140.75 = 424,140.75 : x
  2. Step 2: Convert to fraction form
    289,674/424,140.75 = 424,140.75/x
  3. Step 3: Cross multiply
    289,674x = 424,140.75 × 424,140.75
  4. Step 4: Simplify right side
    289,674x = 179,895,375,810.56
  5. Step 5: Solve for x
    x = 179,895,375,810.56/289,674
  6. Step 6: Final answer
    x = 621,027.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.