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Finding the Third Proportional to 289,639.13 and 448,470

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Solution

The third proportional to 289,639.13 and 448,470 is: 694,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,639.13 : 448,470 = 448,470 : x
  2. Step 2: Convert to fraction form
    289,639.13/448,470 = 448,470/x
  3. Step 3: Cross multiply
    289,639.13x = 448,470 × 448,470
  4. Step 4: Simplify right side
    289,639.13x = 201,125,340,900
  5. Step 5: Solve for x
    x = 201,125,340,900/289,639.13
  6. Step 6: Final answer
    x = 694,399.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.