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Finding the Third Proportional to 93,140 and 147,548

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Solution

The third proportional to 93,140 and 147,548 is: 233,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,140 : 147,548 = 147,548 : x
  2. Step 2: Convert to fraction form
    93,140/147,548 = 147,548/x
  3. Step 3: Cross multiply
    93,140x = 147,548 × 147,548
  4. Step 4: Simplify right side
    93,140x = 21,770,412,304
  5. Step 5: Solve for x
    x = 21,770,412,304/93,140
  6. Step 6: Final answer
    x = 233,738.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.