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Finding the Third Proportional to 328,940 and 492,070

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Solution

The third proportional to 328,940 and 492,070 is: 736,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,940 : 492,070 = 492,070 : x
  2. Step 2: Convert to fraction form
    328,940/492,070 = 492,070/x
  3. Step 3: Cross multiply
    328,940x = 492,070 × 492,070
  4. Step 4: Simplify right side
    328,940x = 242,132,884,900
  5. Step 5: Solve for x
    x = 242,132,884,900/328,940
  6. Step 6: Final answer
    x = 736,100.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.