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Finding the Third Proportional to 199,887 and 429,417

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Solution

The third proportional to 199,887 and 429,417 is: 922,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,887 : 429,417 = 429,417 : x
  2. Step 2: Convert to fraction form
    199,887/429,417 = 429,417/x
  3. Step 3: Cross multiply
    199,887x = 429,417 × 429,417
  4. Step 4: Simplify right side
    199,887x = 184,398,959,889
  5. Step 5: Solve for x
    x = 184,398,959,889/199,887
  6. Step 6: Final answer
    x = 922,516.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.