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Finding the Third Proportional to 328,130 and 469,218

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Solution

The third proportional to 328,130 and 469,218 is: 670,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,130 : 469,218 = 469,218 : x
  2. Step 2: Convert to fraction form
    328,130/469,218 = 469,218/x
  3. Step 3: Cross multiply
    328,130x = 469,218 × 469,218
  4. Step 4: Simplify right side
    328,130x = 220,165,531,524
  5. Step 5: Solve for x
    x = 220,165,531,524/328,130
  6. Step 6: Final answer
    x = 670,970.44

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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.