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Finding the Third Proportional to 128,579,264 and 194,064,612

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Solution

The third proportional to 128,579,264 and 194,064,612 is: 292,901,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,579,264 : 194,064,612 = 194,064,612 : x
  2. Step 2: Convert to fraction form
    128,579,264/194,064,612 = 194,064,612/x
  3. Step 3: Cross multiply
    128,579,264x = 194,064,612 × 194,064,612
  4. Step 4: Simplify right side
    128,579,264x = 37,661,073,630,710,544
  5. Step 5: Solve for x
    x = 37,661,073,630,710,544/128,579,264
  6. Step 6: Final answer
    x = 292,901,611.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.