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Finding the Third Proportional to 307,730 and 461,595

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Solution

The third proportional to 307,730 and 461,595 is: 692,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,730 : 461,595 = 461,595 : x
  2. Step 2: Convert to fraction form
    307,730/461,595 = 461,595/x
  3. Step 3: Cross multiply
    307,730x = 461,595 × 461,595
  4. Step 4: Simplify right side
    307,730x = 213,069,944,025
  5. Step 5: Solve for x
    x = 213,069,944,025/307,730
  6. Step 6: Final answer
    x = 692,392.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.