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Finding the Third Proportional to 76,370 and 117,507

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Solution

The third proportional to 76,370 and 117,507 is: 180,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,370 : 117,507 = 117,507 : x
  2. Step 2: Convert to fraction form
    76,370/117,507 = 117,507/x
  3. Step 3: Cross multiply
    76,370x = 117,507 × 117,507
  4. Step 4: Simplify right side
    76,370x = 13,807,895,049
  5. Step 5: Solve for x
    x = 13,807,895,049/76,370
  6. Step 6: Final answer
    x = 180,802.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.