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Finding the Third Proportional to 283,290 and 414,729

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Solution

The third proportional to 283,290 and 414,729 is: 607,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,290 : 414,729 = 414,729 : x
  2. Step 2: Convert to fraction form
    283,290/414,729 = 414,729/x
  3. Step 3: Cross multiply
    283,290x = 414,729 × 414,729
  4. Step 4: Simplify right side
    283,290x = 172,000,143,441
  5. Step 5: Solve for x
    x = 172,000,143,441/283,290
  6. Step 6: Final answer
    x = 607,152.19

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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.