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Finding the Third Proportional to 73,046 and 97,540

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Solution

The third proportional to 73,046 and 97,540 is: 130,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,046 : 97,540 = 97,540 : x
  2. Step 2: Convert to fraction form
    73,046/97,540 = 97,540/x
  3. Step 3: Cross multiply
    73,046x = 97,540 × 97,540
  4. Step 4: Simplify right side
    73,046x = 9,514,051,600
  5. Step 5: Solve for x
    x = 9,514,051,600/73,046
  6. Step 6: Final answer
    x = 130,247.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.