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Finding the Third Proportional to 130,100 and 190,209

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Solution

The third proportional to 130,100 and 190,209 is: 278,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,100 : 190,209 = 190,209 : x
  2. Step 2: Convert to fraction form
    130,100/190,209 = 190,209/x
  3. Step 3: Cross multiply
    130,100x = 190,209 × 190,209
  4. Step 4: Simplify right side
    130,100x = 36,179,463,681
  5. Step 5: Solve for x
    x = 36,179,463,681/130,100
  6. Step 6: Final answer
    x = 278,089.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.