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Finding the Third Proportional to 93,508 and 148,186.50

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Solution

The third proportional to 93,508 and 148,186.50 is: 234,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,508 : 148,186.50 = 148,186.50 : x
  2. Step 2: Convert to fraction form
    93,508/148,186.50 = 148,186.50/x
  3. Step 3: Cross multiply
    93,508x = 148,186.50 × 148,186.50
  4. Step 4: Simplify right side
    93,508x = 21,959,238,782.25
  5. Step 5: Solve for x
    x = 21,959,238,782.25/93,508
  6. Step 6: Final answer
    x = 234,838.08

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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.