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Finding the Third Proportional to 289,525.50 and 439,209

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Solution

The third proportional to 289,525.50 and 439,209 is: 666,278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,525.50 : 439,209 = 439,209 : x
  2. Step 2: Convert to fraction form
    289,525.50/439,209 = 439,209/x
  3. Step 3: Cross multiply
    289,525.50x = 439,209 × 439,209
  4. Step 4: Simplify right side
    289,525.50x = 192,904,545,681
  5. Step 5: Solve for x
    x = 192,904,545,681/289,525.50
  6. Step 6: Final answer
    x = 666,278.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.