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Finding the Third Proportional to 306,381 and 648,090

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Solution

The third proportional to 306,381 and 648,090 is: 1,370,909.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,381 : 648,090 = 648,090 : x
  2. Step 2: Convert to fraction form
    306,381/648,090 = 648,090/x
  3. Step 3: Cross multiply
    306,381x = 648,090 × 648,090
  4. Step 4: Simplify right side
    306,381x = 420,020,648,100
  5. Step 5: Solve for x
    x = 420,020,648,100/306,381
  6. Step 6: Final answer
    x = 1,370,909.58

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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.