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Finding the Third Proportional to 189,639 and 417,465

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Solution

The third proportional to 189,639 and 417,465 is: 918,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,639 : 417,465 = 417,465 : x
  2. Step 2: Convert to fraction form
    189,639/417,465 = 417,465/x
  3. Step 3: Cross multiply
    189,639x = 417,465 × 417,465
  4. Step 4: Simplify right side
    189,639x = 174,277,026,225
  5. Step 5: Solve for x
    x = 174,277,026,225/189,639
  6. Step 6: Final answer
    x = 918,993.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.