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Finding the Third Proportional to 307,887 and 460,602

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Solution

The third proportional to 307,887 and 460,602 is: 689,065.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,887 : 460,602 = 460,602 : x
  2. Step 2: Convert to fraction form
    307,887/460,602 = 460,602/x
  3. Step 3: Cross multiply
    307,887x = 460,602 × 460,602
  4. Step 4: Simplify right side
    307,887x = 212,154,202,404
  5. Step 5: Solve for x
    x = 212,154,202,404/307,887
  6. Step 6: Final answer
    x = 689,065.15

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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.