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Finding the Third Proportional to 146,072 and 224,384.50

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Solution

The third proportional to 146,072 and 224,384.50 is: 344,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,072 : 224,384.50 = 224,384.50 : x
  2. Step 2: Convert to fraction form
    146,072/224,384.50 = 224,384.50/x
  3. Step 3: Cross multiply
    146,072x = 224,384.50 × 224,384.50
  4. Step 4: Simplify right side
    146,072x = 50,348,403,840.25
  5. Step 5: Solve for x
    x = 50,348,403,840.25/146,072
  6. Step 6: Final answer
    x = 344,682.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.