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Finding the Third Proportional to 129,047.63 and 277,864.88

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Solution

The third proportional to 129,047.63 and 277,864.88 is: 598,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,047.63 : 277,864.88 = 277,864.88 : x
  2. Step 2: Convert to fraction form
    129,047.63/277,864.88 = 277,864.88/x
  3. Step 3: Cross multiply
    129,047.63x = 277,864.88 × 277,864.88
  4. Step 4: Simplify right side
    129,047.63x = 77,208,888,758.77
  5. Step 5: Solve for x
    x = 77,208,888,758.77/129,047.63
  6. Step 6: Final answer
    x = 598,297.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.