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Finding the Third Proportional to 30,020 and 64,694

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Solution

The third proportional to 30,020 and 64,694 is: 139,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,020 : 64,694 = 64,694 : x
  2. Step 2: Convert to fraction form
    30,020/64,694 = 64,694/x
  3. Step 3: Cross multiply
    30,020x = 64,694 × 64,694
  4. Step 4: Simplify right side
    30,020x = 4,185,313,636
  5. Step 5: Solve for x
    x = 4,185,313,636/30,020
  6. Step 6: Final answer
    x = 139,417.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.