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Finding the Third Proportional to 136,056 and 316,290

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Solution

The third proportional to 136,056 and 316,290 is: 735,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,056 : 316,290 = 316,290 : x
  2. Step 2: Convert to fraction form
    136,056/316,290 = 316,290/x
  3. Step 3: Cross multiply
    136,056x = 316,290 × 316,290
  4. Step 4: Simplify right side
    136,056x = 100,039,364,100
  5. Step 5: Solve for x
    x = 100,039,364,100/136,056
  6. Step 6: Final answer
    x = 735,280.80

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.