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Finding the Third Proportional to 155,420 and 228,030

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Solution

The third proportional to 155,420 and 228,030 is: 334,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,420 : 228,030 = 228,030 : x
  2. Step 2: Convert to fraction form
    155,420/228,030 = 228,030/x
  3. Step 3: Cross multiply
    155,420x = 228,030 × 228,030
  4. Step 4: Simplify right side
    155,420x = 51,997,680,900
  5. Step 5: Solve for x
    x = 51,997,680,900/155,420
  6. Step 6: Final answer
    x = 334,562.35

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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.