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Finding the Third Proportional to 133,152 and 289,814

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Solution

The third proportional to 133,152 and 289,814 is: 630,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,152 : 289,814 = 289,814 : x
  2. Step 2: Convert to fraction form
    133,152/289,814 = 289,814/x
  3. Step 3: Cross multiply
    133,152x = 289,814 × 289,814
  4. Step 4: Simplify right side
    133,152x = 83,992,154,596
  5. Step 5: Solve for x
    x = 83,992,154,596/133,152
  6. Step 6: Final answer
    x = 630,799.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.