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Finding the Third Proportional to 30,407 and 45,490

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Solution

The third proportional to 30,407 and 45,490 is: 68,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407 : 45,490 = 45,490 : x
  2. Step 2: Convert to fraction form
    30,407/45,490 = 45,490/x
  3. Step 3: Cross multiply
    30,407x = 45,490 × 45,490
  4. Step 4: Simplify right side
    30,407x = 2,069,340,100
  5. Step 5: Solve for x
    x = 2,069,340,100/30,407
  6. Step 6: Final answer
    x = 68,054.73

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Why These Related Problems?

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