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Finding the Third Proportional to 102,285,123.50 and 224,373,168

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Solution

The third proportional to 102,285,123.50 and 224,373,168 is: 492,186,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,285,123.50 : 224,373,168 = 224,373,168 : x
  2. Step 2: Convert to fraction form
    102,285,123.50/224,373,168 = 224,373,168/x
  3. Step 3: Cross multiply
    102,285,123.50x = 224,373,168 × 224,373,168
  4. Step 4: Simplify right side
    102,285,123.50x = 50,343,318,518,356,224
  5. Step 5: Solve for x
    x = 50,343,318,518,356,224/102,285,123.50
  6. Step 6: Final answer
    x = 492,186,124.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.