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Finding the Third Proportional to 240,421 and 353,827.50

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Solution

The third proportional to 240,421 and 353,827.50 is: 520,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,421 : 353,827.50 = 353,827.50 : x
  2. Step 2: Convert to fraction form
    240,421/353,827.50 = 353,827.50/x
  3. Step 3: Cross multiply
    240,421x = 353,827.50 × 353,827.50
  4. Step 4: Simplify right side
    240,421x = 125,193,899,756.25
  5. Step 5: Solve for x
    x = 125,193,899,756.25/240,421
  6. Step 6: Final answer
    x = 520,727.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.