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Finding the Third Proportional to 93,537 and 142,640.50

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Solution

The third proportional to 93,537 and 142,640.50 is: 217,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,537 : 142,640.50 = 142,640.50 : x
  2. Step 2: Convert to fraction form
    93,537/142,640.50 = 142,640.50/x
  3. Step 3: Cross multiply
    93,537x = 142,640.50 × 142,640.50
  4. Step 4: Simplify right side
    93,537x = 20,346,312,240.25
  5. Step 5: Solve for x
    x = 20,346,312,240.25/93,537
  6. Step 6: Final answer
    x = 217,521.54

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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.