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Finding the Third Proportional to 130,068 and 190,417.50

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Solution

The third proportional to 130,068 and 190,417.50 is: 278,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,068 : 190,417.50 = 190,417.50 : x
  2. Step 2: Convert to fraction form
    130,068/190,417.50 = 190,417.50/x
  3. Step 3: Cross multiply
    130,068x = 190,417.50 × 190,417.50
  4. Step 4: Simplify right side
    130,068x = 36,258,824,306.25
  5. Step 5: Solve for x
    x = 36,258,824,306.25/130,068
  6. Step 6: Final answer
    x = 278,768.22

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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.