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Finding the Third Proportional to 30,588 and 45,313.50

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Solution

The third proportional to 30,588 and 45,313.50 is: 67,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588 : 45,313.50 = 45,313.50 : x
  2. Step 2: Convert to fraction form
    30,588/45,313.50 = 45,313.50/x
  3. Step 3: Cross multiply
    30,588x = 45,313.50 × 45,313.50
  4. Step 4: Simplify right side
    30,588x = 2,053,313,282.25
  5. Step 5: Solve for x
    x = 2,053,313,282.25/30,588
  6. Step 6: Final answer
    x = 67,128.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.