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Finding the Third Proportional to 7,070.63 and 10,398.38

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Solution

The third proportional to 7,070.63 and 10,398.38 is: 15,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.63 : 10,398.38 = 10,398.38 : x
  2. Step 2: Convert to fraction form
    7,070.63/10,398.38 = 10,398.38/x
  3. Step 3: Cross multiply
    7,070.63x = 10,398.38 × 10,398.38
  4. Step 4: Simplify right side
    7,070.63x = 108,126,202.64
  5. Step 5: Solve for x
    x = 108,126,202.64/7,070.63
  6. Step 6: Final answer
    x = 15,292.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.