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Finding the Third Proportional to 142,140 and 306,156

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Solution

The third proportional to 142,140 and 306,156 is: 659,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,140 : 306,156 = 306,156 : x
  2. Step 2: Convert to fraction form
    142,140/306,156 = 306,156/x
  3. Step 3: Cross multiply
    142,140x = 306,156 × 306,156
  4. Step 4: Simplify right side
    142,140x = 93,731,496,336
  5. Step 5: Solve for x
    x = 93,731,496,336/142,140
  6. Step 6: Final answer
    x = 659,430.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.