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Finding the Third Proportional to 93,434.50 and 145,984

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Solution

The third proportional to 93,434.50 and 145,984 is: 228,088.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,434.50 : 145,984 = 145,984 : x
  2. Step 2: Convert to fraction form
    93,434.50/145,984 = 145,984/x
  3. Step 3: Cross multiply
    93,434.50x = 145,984 × 145,984
  4. Step 4: Simplify right side
    93,434.50x = 21,311,328,256
  5. Step 5: Solve for x
    x = 21,311,328,256/93,434.50
  6. Step 6: Final answer
    x = 228,088.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.