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Finding the Third Proportional to 178,724,245.50 and 385,677,315

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Solution

The third proportional to 178,724,245.50 and 385,677,315 is: 832,270,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,724,245.50 : 385,677,315 = 385,677,315 : x
  2. Step 2: Convert to fraction form
    178,724,245.50/385,677,315 = 385,677,315/x
  3. Step 3: Cross multiply
    178,724,245.50x = 385,677,315 × 385,677,315
  4. Step 4: Simplify right side
    178,724,245.50x = 148,746,991,305,609,216
  5. Step 5: Solve for x
    x = 148,746,991,305,609,216/178,724,245.50
  6. Step 6: Final answer
    x = 832,270,914.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.