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Finding the Third Proportional to 306,012 and 662,862

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Solution

The third proportional to 306,012 and 662,862 is: 1,435,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,012 : 662,862 = 662,862 : x
  2. Step 2: Convert to fraction form
    306,012/662,862 = 662,862/x
  3. Step 3: Cross multiply
    306,012x = 662,862 × 662,862
  4. Step 4: Simplify right side
    306,012x = 439,386,031,044
  5. Step 5: Solve for x
    x = 439,386,031,044/306,012
  6. Step 6: Final answer
    x = 1,435,845.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.