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Finding the Third Proportional to 130,140 and 191,106

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Solution

The third proportional to 130,140 and 191,106 is: 280,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,140 : 191,106 = 191,106 : x
  2. Step 2: Convert to fraction form
    130,140/191,106 = 191,106/x
  3. Step 3: Cross multiply
    130,140x = 191,106 × 191,106
  4. Step 4: Simplify right side
    130,140x = 36,521,503,236
  5. Step 5: Solve for x
    x = 36,521,503,236/130,140
  6. Step 6: Final answer
    x = 280,632.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.