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Finding the Third Proportional to 130,852.50 and 285,513

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Solution

The third proportional to 130,852.50 and 285,513 is: 622,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,852.50 : 285,513 = 285,513 : x
  2. Step 2: Convert to fraction form
    130,852.50/285,513 = 285,513/x
  3. Step 3: Cross multiply
    130,852.50x = 285,513 × 285,513
  4. Step 4: Simplify right side
    130,852.50x = 81,517,673,169
  5. Step 5: Solve for x
    x = 81,517,673,169/130,852.50
  6. Step 6: Final answer
    x = 622,973.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.