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Finding the Third Proportional to 306,765 and 656,178

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Solution

The third proportional to 306,765 and 656,178 is: 1,403,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,765 : 656,178 = 656,178 : x
  2. Step 2: Convert to fraction form
    306,765/656,178 = 656,178/x
  3. Step 3: Cross multiply
    306,765x = 656,178 × 656,178
  4. Step 4: Simplify right side
    306,765x = 430,569,567,684
  5. Step 5: Solve for x
    x = 430,569,567,684/306,765
  6. Step 6: Final answer
    x = 1,403,581.14

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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.