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Finding the Third Proportional to 328,119 and 469,209

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Solution

The third proportional to 328,119 and 469,209 is: 670,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,119 : 469,209 = 469,209 : x
  2. Step 2: Convert to fraction form
    328,119/469,209 = 469,209/x
  3. Step 3: Cross multiply
    328,119x = 469,209 × 469,209
  4. Step 4: Simplify right side
    328,119x = 220,157,085,681
  5. Step 5: Solve for x
    x = 220,157,085,681/328,119
  6. Step 6: Final answer
    x = 670,967.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.