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Finding the Third Proportional to 285,210 and 426,926.25

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Solution

The third proportional to 285,210 and 426,926.25 is: 639,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,210 : 426,926.25 = 426,926.25 : x
  2. Step 2: Convert to fraction form
    285,210/426,926.25 = 426,926.25/x
  3. Step 3: Cross multiply
    285,210x = 426,926.25 × 426,926.25
  4. Step 4: Simplify right side
    285,210x = 182,266,022,939.06
  5. Step 5: Solve for x
    x = 182,266,022,939.06/285,210
  6. Step 6: Final answer
    x = 639,059.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.