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Finding the Third Proportional to 307,681 and 465,629

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Solution

The third proportional to 307,681 and 465,629 is: 704,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,681 : 465,629 = 465,629 : x
  2. Step 2: Convert to fraction form
    307,681/465,629 = 465,629/x
  3. Step 3: Cross multiply
    307,681x = 465,629 × 465,629
  4. Step 4: Simplify right side
    307,681x = 216,810,365,641
  5. Step 5: Solve for x
    x = 216,810,365,641/307,681
  6. Step 6: Final answer
    x = 704,659.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.