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Finding the Third Proportional to 129,462 and 277,572

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Solution

The third proportional to 129,462 and 277,572 is: 595,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,462 : 277,572 = 277,572 : x
  2. Step 2: Convert to fraction form
    129,462/277,572 = 277,572/x
  3. Step 3: Cross multiply
    129,462x = 277,572 × 277,572
  4. Step 4: Simplify right side
    129,462x = 77,046,215,184
  5. Step 5: Solve for x
    x = 77,046,215,184/129,462
  6. Step 6: Final answer
    x = 595,126.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.