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Finding the Third Proportional to 309,581 and 632,283

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Solution

The third proportional to 309,581 and 632,283 is: 1,291,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,581 : 632,283 = 632,283 : x
  2. Step 2: Convert to fraction form
    309,581/632,283 = 632,283/x
  3. Step 3: Cross multiply
    309,581x = 632,283 × 632,283
  4. Step 4: Simplify right side
    309,581x = 399,781,792,089
  5. Step 5: Solve for x
    x = 399,781,792,089/309,581
  6. Step 6: Final answer
    x = 1,291,364.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.