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Finding the Third Proportional to 130,121 and 201,091

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Solution

The third proportional to 130,121 and 201,091 is: 310,769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,121 : 201,091 = 201,091 : x
  2. Step 2: Convert to fraction form
    130,121/201,091 = 201,091/x
  3. Step 3: Cross multiply
    130,121x = 201,091 × 201,091
  4. Step 4: Simplify right side
    130,121x = 40,437,590,281
  5. Step 5: Solve for x
    x = 40,437,590,281/130,121
  6. Step 6: Final answer
    x = 310,769.13

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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.