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Finding the Third Proportional to 93,243 and 140,638.50

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Solution

The third proportional to 93,243 and 140,638.50 is: 212,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,243 : 140,638.50 = 140,638.50 : x
  2. Step 2: Convert to fraction form
    93,243/140,638.50 = 140,638.50/x
  3. Step 3: Cross multiply
    93,243x = 140,638.50 × 140,638.50
  4. Step 4: Simplify right side
    93,243x = 19,779,187,682.25
  5. Step 5: Solve for x
    x = 19,779,187,682.25/93,243
  6. Step 6: Final answer
    x = 212,125.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.