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Finding the Third Proportional to 245,807 and 336,403

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Solution

The third proportional to 245,807 and 336,403 is: 460,389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,807 : 336,403 = 336,403 : x
  2. Step 2: Convert to fraction form
    245,807/336,403 = 336,403/x
  3. Step 3: Cross multiply
    245,807x = 336,403 × 336,403
  4. Step 4: Simplify right side
    245,807x = 113,166,978,409
  5. Step 5: Solve for x
    x = 113,166,978,409/245,807
  6. Step 6: Final answer
    x = 460,389.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.