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Finding the Third Proportional to 30,297 and 45,729

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Solution

The third proportional to 30,297 and 45,729 is: 69,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297 : 45,729 = 45,729 : x
  2. Step 2: Convert to fraction form
    30,297/45,729 = 45,729/x
  3. Step 3: Cross multiply
    30,297x = 45,729 × 45,729
  4. Step 4: Simplify right side
    30,297x = 2,091,141,441
  5. Step 5: Solve for x
    x = 2,091,141,441/30,297
  6. Step 6: Final answer
    x = 69,021.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.