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Finding the Third Proportional to 199,854 and 429,354

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Solution

The third proportional to 199,854 and 429,354 is: 922,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,854 : 429,354 = 429,354 : x
  2. Step 2: Convert to fraction form
    199,854/429,354 = 429,354/x
  3. Step 3: Cross multiply
    199,854x = 429,354 × 429,354
  4. Step 4: Simplify right side
    199,854x = 184,344,857,316
  5. Step 5: Solve for x
    x = 184,344,857,316/199,854
  6. Step 6: Final answer
    x = 922,397.64

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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.