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Finding the Third Proportional to 140,202 and 307,545

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Solution

The third proportional to 140,202 and 307,545 is: 674,626.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,202 : 307,545 = 307,545 : x
  2. Step 2: Convert to fraction form
    140,202/307,545 = 307,545/x
  3. Step 3: Cross multiply
    140,202x = 307,545 × 307,545
  4. Step 4: Simplify right side
    140,202x = 94,583,927,025
  5. Step 5: Solve for x
    x = 94,583,927,025/140,202
  6. Step 6: Final answer
    x = 674,626.09

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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.