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Finding the Third Proportional to 329,316 and 491,808

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Solution

The third proportional to 329,316 and 491,808 is: 734,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,316 : 491,808 = 491,808 : x
  2. Step 2: Convert to fraction form
    329,316/491,808 = 491,808/x
  3. Step 3: Cross multiply
    329,316x = 491,808 × 491,808
  4. Step 4: Simplify right side
    329,316x = 241,875,108,864
  5. Step 5: Solve for x
    x = 241,875,108,864/329,316
  6. Step 6: Final answer
    x = 734,477.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.