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Finding the Third Proportional to 127,200 and 201,386

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Solution

The third proportional to 127,200 and 201,386 is: 318,839.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,200 : 201,386 = 201,386 : x
  2. Step 2: Convert to fraction form
    127,200/201,386 = 201,386/x
  3. Step 3: Cross multiply
    127,200x = 201,386 × 201,386
  4. Step 4: Simplify right side
    127,200x = 40,556,320,996
  5. Step 5: Solve for x
    x = 40,556,320,996/127,200
  6. Step 6: Final answer
    x = 318,839.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.