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Finding the Third Proportional to 129,508.88 and 277,597.13

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Solution

The third proportional to 129,508.88 and 277,597.13 is: 595,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,508.88 : 277,597.13 = 277,597.13 : x
  2. Step 2: Convert to fraction form
    129,508.88/277,597.13 = 277,597.13/x
  3. Step 3: Cross multiply
    129,508.88x = 277,597.13 × 277,597.13
  4. Step 4: Simplify right side
    129,508.88x = 77,060,163,808.27
  5. Step 5: Solve for x
    x = 77,060,163,808.27/129,508.88
  6. Step 6: Final answer
    x = 595,018.40

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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.