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Finding the Third Proportional to 30,277.50 and 70,359

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Solution

The third proportional to 30,277.50 and 70,359 is: 163,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.50 : 70,359 = 70,359 : x
  2. Step 2: Convert to fraction form
    30,277.50/70,359 = 70,359/x
  3. Step 3: Cross multiply
    30,277.50x = 70,359 × 70,359
  4. Step 4: Simplify right side
    30,277.50x = 4,950,388,881
  5. Step 5: Solve for x
    x = 4,950,388,881/30,277.50
  6. Step 6: Final answer
    x = 163,500.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.