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Finding the Third Proportional to 196,152 and 415,480

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Solution

The third proportional to 196,152 and 415,480 is: 880,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,152 : 415,480 = 415,480 : x
  2. Step 2: Convert to fraction form
    196,152/415,480 = 415,480/x
  3. Step 3: Cross multiply
    196,152x = 415,480 × 415,480
  4. Step 4: Simplify right side
    196,152x = 172,623,630,400
  5. Step 5: Solve for x
    x = 172,623,630,400/196,152
  6. Step 6: Final answer
    x = 880,050.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.