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Finding the Third Proportional to 283,419 and 432,661.50

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Solution

The third proportional to 283,419 and 432,661.50 is: 660,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,419 : 432,661.50 = 432,661.50 : x
  2. Step 2: Convert to fraction form
    283,419/432,661.50 = 432,661.50/x
  3. Step 3: Cross multiply
    283,419x = 432,661.50 × 432,661.50
  4. Step 4: Simplify right side
    283,419x = 187,195,973,582.25
  5. Step 5: Solve for x
    x = 187,195,973,582.25/283,419
  6. Step 6: Final answer
    x = 660,491.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.