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Finding the Third Proportional to 328,102 and 506,670

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Solution

The third proportional to 328,102 and 506,670 is: 782,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,102 : 506,670 = 506,670 : x
  2. Step 2: Convert to fraction form
    328,102/506,670 = 506,670/x
  3. Step 3: Cross multiply
    328,102x = 506,670 × 506,670
  4. Step 4: Simplify right side
    328,102x = 256,714,488,900
  5. Step 5: Solve for x
    x = 256,714,488,900/328,102
  6. Step 6: Final answer
    x = 782,422.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.