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Finding the Third Proportional to 29,720 and 47,020

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Solution

The third proportional to 29,720 and 47,020 is: 74,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,720 : 47,020 = 47,020 : x
  2. Step 2: Convert to fraction form
    29,720/47,020 = 47,020/x
  3. Step 3: Cross multiply
    29,720x = 47,020 × 47,020
  4. Step 4: Simplify right side
    29,720x = 2,210,880,400
  5. Step 5: Solve for x
    x = 2,210,880,400/29,720
  6. Step 6: Final answer
    x = 74,390.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.