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Finding the Third Proportional to 328,097 and 469,178

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Solution

The third proportional to 328,097 and 469,178 is: 670,923.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,097 : 469,178 = 469,178 : x
  2. Step 2: Convert to fraction form
    328,097/469,178 = 469,178/x
  3. Step 3: Cross multiply
    328,097x = 469,178 × 469,178
  4. Step 4: Simplify right side
    328,097x = 220,127,995,684
  5. Step 5: Solve for x
    x = 220,127,995,684/328,097
  6. Step 6: Final answer
    x = 670,923.52

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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.