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Finding the Third Proportional to 93,798 and 134,122.50

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Solution

The third proportional to 93,798 and 134,122.50 is: 191,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,798 : 134,122.50 = 134,122.50 : x
  2. Step 2: Convert to fraction form
    93,798/134,122.50 = 134,122.50/x
  3. Step 3: Cross multiply
    93,798x = 134,122.50 × 134,122.50
  4. Step 4: Simplify right side
    93,798x = 17,988,845,006.25
  5. Step 5: Solve for x
    x = 17,988,845,006.25/93,798
  6. Step 6: Final answer
    x = 191,782.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.