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Finding the Third Proportional to 289,656 and 434,046

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Solution

The third proportional to 289,656 and 434,046 is: 650,412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,656 : 434,046 = 434,046 : x
  2. Step 2: Convert to fraction form
    289,656/434,046 = 434,046/x
  3. Step 3: Cross multiply
    289,656x = 434,046 × 434,046
  4. Step 4: Simplify right side
    289,656x = 188,395,930,116
  5. Step 5: Solve for x
    x = 188,395,930,116/289,656
  6. Step 6: Final answer
    x = 650,412.66

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Why These Related Problems?

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