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Finding the Third Proportional to 3,430 and 7,070

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Solution

The third proportional to 3,430 and 7,070 is: 14,572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430 : 7,070 = 7,070 : x
  2. Step 2: Convert to fraction form
    3,430/7,070 = 7,070/x
  3. Step 3: Cross multiply
    3,430x = 7,070 × 7,070
  4. Step 4: Simplify right side
    3,430x = 49,984,900
  5. Step 5: Solve for x
    x = 49,984,900/3,430
  6. Step 6: Final answer
    x = 14,572.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.