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Finding the Third Proportional to 309,592.97 and 632,307.94

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Solution

The third proportional to 309,592.97 and 632,307.94 is: 1,291,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,592.97 : 632,307.94 = 632,307.94 : x
  2. Step 2: Convert to fraction form
    309,592.97/632,307.94 = 632,307.94/x
  3. Step 3: Cross multiply
    309,592.97x = 632,307.94 × 632,307.94
  4. Step 4: Simplify right side
    309,592.97x = 399,813,327,825.50
  5. Step 5: Solve for x
    x = 399,813,327,825.50/309,592.97
  6. Step 6: Final answer
    x = 1,291,416.05

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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.