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Finding the Third Proportional to 196,752 and 420,855

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Solution

The third proportional to 196,752 and 420,855 is: 900,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,752 : 420,855 = 420,855 : x
  2. Step 2: Convert to fraction form
    196,752/420,855 = 420,855/x
  3. Step 3: Cross multiply
    196,752x = 420,855 × 420,855
  4. Step 4: Simplify right side
    196,752x = 177,118,931,025
  5. Step 5: Solve for x
    x = 177,118,931,025/196,752
  6. Step 6: Final answer
    x = 900,214.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.