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Finding the Third Proportional to 130,815 and 305,896.50

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Solution

The third proportional to 130,815 and 305,896.50 is: 715,305.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,815 : 305,896.50 = 305,896.50 : x
  2. Step 2: Convert to fraction form
    130,815/305,896.50 = 305,896.50/x
  3. Step 3: Cross multiply
    130,815x = 305,896.50 × 305,896.50
  4. Step 4: Simplify right side
    130,815x = 93,572,668,712.25
  5. Step 5: Solve for x
    x = 93,572,668,712.25/130,815
  6. Step 6: Final answer
    x = 715,305.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.