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Finding the Third Proportional to 134,018 and 289,540

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Solution

The third proportional to 134,018 and 289,540 is: 625,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,018 : 289,540 = 289,540 : x
  2. Step 2: Convert to fraction form
    134,018/289,540 = 289,540/x
  3. Step 3: Cross multiply
    134,018x = 289,540 × 289,540
  4. Step 4: Simplify right side
    134,018x = 83,833,411,600
  5. Step 5: Solve for x
    x = 83,833,411,600/134,018
  6. Step 6: Final answer
    x = 625,538.45

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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.