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Finding the Third Proportional to 135,732,126,060 and 285,530,196,312

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Solution

The third proportional to 135,732,126,060 and 285,530,196,312 is: 600,649,937,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,732,126,060 : 285,530,196,312 = 285,530,196,312 : x
  2. Step 2: Convert to fraction form
    135,732,126,060/285,530,196,312 = 285,530,196,312/x
  3. Step 3: Cross multiply
    135,732,126,060x = 285,530,196,312 × 285,530,196,312
  4. Step 4: Simplify right side
    135,732,126,060x = 81,527,493,005,969,253,728,256
  5. Step 5: Solve for x
    x = 81,527,493,005,969,253,728,256/135,732,126,060
  6. Step 6: Final answer
    x = 600,649,937,288.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.