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Finding the Third Proportional to 67,536,459 and 137,457,657

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Solution

The third proportional to 67,536,459 and 137,457,657 is: 279,768,998.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,536,459 : 137,457,657 = 137,457,657 : x
  2. Step 2: Convert to fraction form
    67,536,459/137,457,657 = 137,457,657/x
  3. Step 3: Cross multiply
    67,536,459x = 137,457,657 × 137,457,657
  4. Step 4: Simplify right side
    67,536,459x = 18,894,607,467,929,648
  5. Step 5: Solve for x
    x = 18,894,607,467,929,648/67,536,459
  6. Step 6: Final answer
    x = 279,768,998.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.