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Finding the Third Proportional to 306,963 and 650,430

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Solution

The third proportional to 306,963 and 650,430 is: 1,378,209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,963 : 650,430 = 650,430 : x
  2. Step 2: Convert to fraction form
    306,963/650,430 = 650,430/x
  3. Step 3: Cross multiply
    306,963x = 650,430 × 650,430
  4. Step 4: Simplify right side
    306,963x = 423,059,184,900
  5. Step 5: Solve for x
    x = 423,059,184,900/306,963
  6. Step 6: Final answer
    x = 1,378,209.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.