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Finding the Third Proportional to 305,748 and 449,627.63

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Solution

The third proportional to 305,748 and 449,627.63 is: 661,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,748 : 449,627.63 = 449,627.63 : x
  2. Step 2: Convert to fraction form
    305,748/449,627.63 = 449,627.63/x
  3. Step 3: Cross multiply
    305,748x = 449,627.63 × 449,627.63
  4. Step 4: Simplify right side
    305,748x = 202,165,001,163.14
  5. Step 5: Solve for x
    x = 202,165,001,163.14/305,748
  6. Step 6: Final answer
    x = 661,214.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.