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Finding the Third Proportional to 142,590 and 306,236

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Solution

The third proportional to 142,590 and 306,236 is: 657,693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,590 : 306,236 = 306,236 : x
  2. Step 2: Convert to fraction form
    142,590/306,236 = 306,236/x
  3. Step 3: Cross multiply
    142,590x = 306,236 × 306,236
  4. Step 4: Simplify right side
    142,590x = 93,780,487,696
  5. Step 5: Solve for x
    x = 93,780,487,696/142,590
  6. Step 6: Final answer
    x = 657,693.30

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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.