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Finding the Third Proportional to 306,768 and 656,184

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Solution

The third proportional to 306,768 and 656,184 is: 1,403,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,768 : 656,184 = 656,184 : x
  2. Step 2: Convert to fraction form
    306,768/656,184 = 656,184/x
  3. Step 3: Cross multiply
    306,768x = 656,184 × 656,184
  4. Step 4: Simplify right side
    306,768x = 430,577,441,856
  5. Step 5: Solve for x
    x = 430,577,441,856/306,768
  6. Step 6: Final answer
    x = 1,403,593.08

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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.