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Finding the Third Proportional to 153,280 and 228,976

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Solution

The third proportional to 153,280 and 228,976 is: 342,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,280 : 228,976 = 228,976 : x
  2. Step 2: Convert to fraction form
    153,280/228,976 = 228,976/x
  3. Step 3: Cross multiply
    153,280x = 228,976 × 228,976
  4. Step 4: Simplify right side
    153,280x = 52,430,008,576
  5. Step 5: Solve for x
    x = 52,430,008,576/153,280
  6. Step 6: Final answer
    x = 342,053.81

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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.