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Finding the Third Proportional to 83,362 and 109,490

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Solution

The third proportional to 83,362 and 109,490 is: 143,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,362 : 109,490 = 109,490 : x
  2. Step 2: Convert to fraction form
    83,362/109,490 = 109,490/x
  3. Step 3: Cross multiply
    83,362x = 109,490 × 109,490
  4. Step 4: Simplify right side
    83,362x = 11,988,060,100
  5. Step 5: Solve for x
    x = 11,988,060,100/83,362
  6. Step 6: Final answer
    x = 143,807.25

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.