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Finding the Third Proportional to 306,912 and 656,460

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Solution

The third proportional to 306,912 and 656,460 is: 1,404,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,912 : 656,460 = 656,460 : x
  2. Step 2: Convert to fraction form
    306,912/656,460 = 656,460/x
  3. Step 3: Cross multiply
    306,912x = 656,460 × 656,460
  4. Step 4: Simplify right side
    306,912x = 430,939,731,600
  5. Step 5: Solve for x
    x = 430,939,731,600/306,912
  6. Step 6: Final answer
    x = 1,404,114.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.