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Finding the Third Proportional to 138,098 and 302,545

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Solution

The third proportional to 138,098 and 302,545 is: 662,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,098 : 302,545 = 302,545 : x
  2. Step 2: Convert to fraction form
    138,098/302,545 = 302,545/x
  3. Step 3: Cross multiply
    138,098x = 302,545 × 302,545
  4. Step 4: Simplify right side
    138,098x = 91,533,477,025
  5. Step 5: Solve for x
    x = 91,533,477,025/138,098
  6. Step 6: Final answer
    x = 662,815.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.