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Finding the Third Proportional to 179,971,866 and 268,778,459

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Solution

The third proportional to 179,971,866 and 268,778,459 is: 401,406,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,971,866 : 268,778,459 = 268,778,459 : x
  2. Step 2: Convert to fraction form
    179,971,866/268,778,459 = 268,778,459/x
  3. Step 3: Cross multiply
    179,971,866x = 268,778,459 × 268,778,459
  4. Step 4: Simplify right side
    179,971,866x = 72,241,860,022,414,688
  5. Step 5: Solve for x
    x = 72,241,860,022,414,688/179,971,866
  6. Step 6: Final answer
    x = 401,406,406.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.