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Finding the Third Proportional to 93,818 and 145,533

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Solution

The third proportional to 93,818 and 145,533 is: 225,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,818 : 145,533 = 145,533 : x
  2. Step 2: Convert to fraction form
    93,818/145,533 = 145,533/x
  3. Step 3: Cross multiply
    93,818x = 145,533 × 145,533
  4. Step 4: Simplify right side
    93,818x = 21,179,854,089
  5. Step 5: Solve for x
    x = 21,179,854,089/93,818
  6. Step 6: Final answer
    x = 225,754.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.