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Finding the Third Proportional to 307,889 and 460,605

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Solution

The third proportional to 307,889 and 460,605 is: 689,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,889 : 460,605 = 460,605 : x
  2. Step 2: Convert to fraction form
    307,889/460,605 = 460,605/x
  3. Step 3: Cross multiply
    307,889x = 460,605 × 460,605
  4. Step 4: Simplify right side
    307,889x = 212,156,966,025
  5. Step 5: Solve for x
    x = 212,156,966,025/307,889
  6. Step 6: Final answer
    x = 689,069.65

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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.