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Finding the Third Proportional to 306,386 and 648,100

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Solution

The third proportional to 306,386 and 648,100 is: 1,370,929.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,386 : 648,100 = 648,100 : x
  2. Step 2: Convert to fraction form
    306,386/648,100 = 648,100/x
  3. Step 3: Cross multiply
    306,386x = 648,100 × 648,100
  4. Step 4: Simplify right side
    306,386x = 420,033,610,000
  5. Step 5: Solve for x
    x = 420,033,610,000/306,386
  6. Step 6: Final answer
    x = 1,370,929.51

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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.