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Finding the Third Proportional to 285,840 and 453,024

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Solution

The third proportional to 285,840 and 453,024 is: 717,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,840 : 453,024 = 453,024 : x
  2. Step 2: Convert to fraction form
    285,840/453,024 = 453,024/x
  3. Step 3: Cross multiply
    285,840x = 453,024 × 453,024
  4. Step 4: Simplify right side
    285,840x = 205,230,744,576
  5. Step 5: Solve for x
    x = 205,230,744,576/285,840
  6. Step 6: Final answer
    x = 717,991.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.