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Finding the Third Proportional to 304,480 and 641,784

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Solution

The third proportional to 304,480 and 641,784 is: 1,352,754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,480 : 641,784 = 641,784 : x
  2. Step 2: Convert to fraction form
    304,480/641,784 = 641,784/x
  3. Step 3: Cross multiply
    304,480x = 641,784 × 641,784
  4. Step 4: Simplify right side
    304,480x = 411,886,702,656
  5. Step 5: Solve for x
    x = 411,886,702,656/304,480
  6. Step 6: Final answer
    x = 1,352,754.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.