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Finding the Third Proportional to 306,708 and 660,283

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Solution

The third proportional to 306,708 and 660,283 is: 1,421,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,708 : 660,283 = 660,283 : x
  2. Step 2: Convert to fraction form
    306,708/660,283 = 660,283/x
  3. Step 3: Cross multiply
    306,708x = 660,283 × 660,283
  4. Step 4: Simplify right side
    306,708x = 435,973,640,089
  5. Step 5: Solve for x
    x = 435,973,640,089/306,708
  6. Step 6: Final answer
    x = 1,421,461.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.