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Finding the Third Proportional to 210,429 and 454,752

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Solution

The third proportional to 210,429 and 454,752 is: 982,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,429 : 454,752 = 454,752 : x
  2. Step 2: Convert to fraction form
    210,429/454,752 = 454,752/x
  3. Step 3: Cross multiply
    210,429x = 454,752 × 454,752
  4. Step 4: Simplify right side
    210,429x = 206,799,381,504
  5. Step 5: Solve for x
    x = 206,799,381,504/210,429
  6. Step 6: Final answer
    x = 982,751.34

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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.