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Finding the Third Proportional to 189,047 and 415,365

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Solution

The third proportional to 189,047 and 415,365 is: 912,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,047 : 415,365 = 415,365 : x
  2. Step 2: Convert to fraction form
    189,047/415,365 = 415,365/x
  3. Step 3: Cross multiply
    189,047x = 415,365 × 415,365
  4. Step 4: Simplify right side
    189,047x = 172,528,083,225
  5. Step 5: Solve for x
    x = 172,528,083,225/189,047
  6. Step 6: Final answer
    x = 912,620.05

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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.