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Finding the Third Proportional to 133,029 and 287,157

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Solution

The third proportional to 133,029 and 287,157 is: 619,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,029 : 287,157 = 287,157 : x
  2. Step 2: Convert to fraction form
    133,029/287,157 = 287,157/x
  3. Step 3: Cross multiply
    133,029x = 287,157 × 287,157
  4. Step 4: Simplify right side
    133,029x = 82,459,142,649
  5. Step 5: Solve for x
    x = 82,459,142,649/133,029
  6. Step 6: Final answer
    x = 619,858.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.