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Finding the Third Proportional to 93,410 and 142,276

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Solution

The third proportional to 93,410 and 142,276 is: 216,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,410 : 142,276 = 142,276 : x
  2. Step 2: Convert to fraction form
    93,410/142,276 = 142,276/x
  3. Step 3: Cross multiply
    93,410x = 142,276 × 142,276
  4. Step 4: Simplify right side
    93,410x = 20,242,460,176
  5. Step 5: Solve for x
    x = 20,242,460,176/93,410
  6. Step 6: Final answer
    x = 216,705.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.