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Finding the Third Proportional to 93,107 and 142,415

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Solution

The third proportional to 93,107 and 142,415 is: 217,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,107 : 142,415 = 142,415 : x
  2. Step 2: Convert to fraction form
    93,107/142,415 = 142,415/x
  3. Step 3: Cross multiply
    93,107x = 142,415 × 142,415
  4. Step 4: Simplify right side
    93,107x = 20,282,032,225
  5. Step 5: Solve for x
    x = 20,282,032,225/93,107
  6. Step 6: Final answer
    x = 217,835.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.