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Finding the Third Proportional to 306,834 and 656,316

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Solution

The third proportional to 306,834 and 656,316 is: 1,403,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,834 : 656,316 = 656,316 : x
  2. Step 2: Convert to fraction form
    306,834/656,316 = 656,316/x
  3. Step 3: Cross multiply
    306,834x = 656,316 × 656,316
  4. Step 4: Simplify right side
    306,834x = 430,750,691,856
  5. Step 5: Solve for x
    x = 430,750,691,856/306,834
  6. Step 6: Final answer
    x = 1,403,855.80

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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.