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Finding the Third Proportional to 30,998 and 45,057

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Solution

The third proportional to 30,998 and 45,057 is: 65,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998 : 45,057 = 45,057 : x
  2. Step 2: Convert to fraction form
    30,998/45,057 = 45,057/x
  3. Step 3: Cross multiply
    30,998x = 45,057 × 45,057
  4. Step 4: Simplify right side
    30,998x = 2,030,133,249
  5. Step 5: Solve for x
    x = 2,030,133,249/30,998
  6. Step 6: Final answer
    x = 65,492.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.