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Finding the Third Proportional to 133,681 and 297,247

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Solution

The third proportional to 133,681 and 297,247 is: 660,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,681 : 297,247 = 297,247 : x
  2. Step 2: Convert to fraction form
    133,681/297,247 = 297,247/x
  3. Step 3: Cross multiply
    133,681x = 297,247 × 297,247
  4. Step 4: Simplify right side
    133,681x = 88,355,779,009
  5. Step 5: Solve for x
    x = 88,355,779,009/133,681
  6. Step 6: Final answer
    x = 660,944.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.