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Finding the Third Proportional to 30,407 and 45,489

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Solution

The third proportional to 30,407 and 45,489 is: 68,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407 : 45,489 = 45,489 : x
  2. Step 2: Convert to fraction form
    30,407/45,489 = 45,489/x
  3. Step 3: Cross multiply
    30,407x = 45,489 × 45,489
  4. Step 4: Simplify right side
    30,407x = 2,069,249,121
  5. Step 5: Solve for x
    x = 2,069,249,121/30,407
  6. Step 6: Final answer
    x = 68,051.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.