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Finding the Third Proportional to 130,916.25 and 191,261.25

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Solution

The third proportional to 130,916.25 and 191,261.25 is: 279,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,916.25 : 191,261.25 = 191,261.25 : x
  2. Step 2: Convert to fraction form
    130,916.25/191,261.25 = 191,261.25/x
  3. Step 3: Cross multiply
    130,916.25x = 191,261.25 × 191,261.25
  4. Step 4: Simplify right side
    130,916.25x = 36,580,865,751.56
  5. Step 5: Solve for x
    x = 36,580,865,751.56/130,916.25
  6. Step 6: Final answer
    x = 279,421.89

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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.