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Finding the Third Proportional to 91,010 and 137,787

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Solution

The third proportional to 91,010 and 137,787 is: 208,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,010 : 137,787 = 137,787 : x
  2. Step 2: Convert to fraction form
    91,010/137,787 = 137,787/x
  3. Step 3: Cross multiply
    91,010x = 137,787 × 137,787
  4. Step 4: Simplify right side
    91,010x = 18,985,257,369
  5. Step 5: Solve for x
    x = 18,985,257,369/91,010
  6. Step 6: Final answer
    x = 208,606.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.