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Finding the Third Proportional to 130,089 and 190,192.50

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Solution

The third proportional to 130,089 and 190,192.50 is: 278,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,089 : 190,192.50 = 190,192.50 : x
  2. Step 2: Convert to fraction form
    130,089/190,192.50 = 190,192.50/x
  3. Step 3: Cross multiply
    130,089x = 190,192.50 × 190,192.50
  4. Step 4: Simplify right side
    130,089x = 36,173,187,056.25
  5. Step 5: Solve for x
    x = 36,173,187,056.25/130,089
  6. Step 6: Final answer
    x = 278,064.92

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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.