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Finding the Third Proportional to 199,145 and 429,984

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Solution

The third proportional to 199,145 and 429,984 is: 928,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,145 : 429,984 = 429,984 : x
  2. Step 2: Convert to fraction form
    199,145/429,984 = 429,984/x
  3. Step 3: Cross multiply
    199,145x = 429,984 × 429,984
  4. Step 4: Simplify right side
    199,145x = 184,886,240,256
  5. Step 5: Solve for x
    x = 184,886,240,256/199,145
  6. Step 6: Final answer
    x = 928,400.11

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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.