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Finding the Third Proportional to 130,345 and 201,508

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Solution

The third proportional to 130,345 and 201,508 is: 311,523.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,345 : 201,508 = 201,508 : x
  2. Step 2: Convert to fraction form
    130,345/201,508 = 201,508/x
  3. Step 3: Cross multiply
    130,345x = 201,508 × 201,508
  4. Step 4: Simplify right side
    130,345x = 40,605,474,064
  5. Step 5: Solve for x
    x = 40,605,474,064/130,345
  6. Step 6: Final answer
    x = 311,523.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.