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Finding the Third Proportional to 199,257 and 429,998

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Solution

The third proportional to 199,257 and 429,998 is: 927,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,257 : 429,998 = 429,998 : x
  2. Step 2: Convert to fraction form
    199,257/429,998 = 429,998/x
  3. Step 3: Cross multiply
    199,257x = 429,998 × 429,998
  4. Step 4: Simplify right side
    199,257x = 184,898,280,004
  5. Step 5: Solve for x
    x = 184,898,280,004/199,257
  6. Step 6: Final answer
    x = 927,938.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.