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Finding the Third Proportional to 306,216 and 656,730

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Solution

The third proportional to 306,216 and 656,730 is: 1,408,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,216 : 656,730 = 656,730 : x
  2. Step 2: Convert to fraction form
    306,216/656,730 = 656,730/x
  3. Step 3: Cross multiply
    306,216x = 656,730 × 656,730
  4. Step 4: Simplify right side
    306,216x = 431,294,292,900
  5. Step 5: Solve for x
    x = 431,294,292,900/306,216
  6. Step 6: Final answer
    x = 1,408,464.26

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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.