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Finding the Third Proportional to 130,818 and 201,330

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Solution

The third proportional to 130,818 and 201,330 is: 309,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,818 : 201,330 = 201,330 : x
  2. Step 2: Convert to fraction form
    130,818/201,330 = 201,330/x
  3. Step 3: Cross multiply
    130,818x = 201,330 × 201,330
  4. Step 4: Simplify right side
    130,818x = 40,533,768,900
  5. Step 5: Solve for x
    x = 40,533,768,900/130,818
  6. Step 6: Final answer
    x = 309,848.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.