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Finding the Third Proportional to 130,878 and 201,435

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Solution

The third proportional to 130,878 and 201,435 is: 310,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,878 : 201,435 = 201,435 : x
  2. Step 2: Convert to fraction form
    130,878/201,435 = 201,435/x
  3. Step 3: Cross multiply
    130,878x = 201,435 × 201,435
  4. Step 4: Simplify right side
    130,878x = 40,576,059,225
  5. Step 5: Solve for x
    x = 40,576,059,225/130,878
  6. Step 6: Final answer
    x = 310,029.64

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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.