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Finding the Third Proportional to 30,106 and 45,807

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Solution

The third proportional to 30,106 and 45,807 is: 69,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106 : 45,807 = 45,807 : x
  2. Step 2: Convert to fraction form
    30,106/45,807 = 45,807/x
  3. Step 3: Cross multiply
    30,106x = 45,807 × 45,807
  4. Step 4: Simplify right side
    30,106x = 2,098,281,249
  5. Step 5: Solve for x
    x = 2,098,281,249/30,106
  6. Step 6: Final answer
    x = 69,696.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.