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Finding the Third Proportional to 57,030 and 83,312

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Solution

The third proportional to 57,030 and 83,312 is: 121,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,030 : 83,312 = 83,312 : x
  2. Step 2: Convert to fraction form
    57,030/83,312 = 83,312/x
  3. Step 3: Cross multiply
    57,030x = 83,312 × 83,312
  4. Step 4: Simplify right side
    57,030x = 6,940,889,344
  5. Step 5: Solve for x
    x = 6,940,889,344/57,030
  6. Step 6: Final answer
    x = 121,705.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.