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Finding the Third Proportional to 155,430 and 228,042

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Solution

The third proportional to 155,430 and 228,042 is: 334,576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,430 : 228,042 = 228,042 : x
  2. Step 2: Convert to fraction form
    155,430/228,042 = 228,042/x
  3. Step 3: Cross multiply
    155,430x = 228,042 × 228,042
  4. Step 4: Simplify right side
    155,430x = 52,003,153,764
  5. Step 5: Solve for x
    x = 52,003,153,764/155,430
  6. Step 6: Final answer
    x = 334,576.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.