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Finding the Third Proportional to 281,491 and 436,518

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Solution

The third proportional to 281,491 and 436,518 is: 676,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,491 : 436,518 = 436,518 : x
  2. Step 2: Convert to fraction form
    281,491/436,518 = 436,518/x
  3. Step 3: Cross multiply
    281,491x = 436,518 × 436,518
  4. Step 4: Simplify right side
    281,491x = 190,547,964,324
  5. Step 5: Solve for x
    x = 190,547,964,324/281,491
  6. Step 6: Final answer
    x = 676,923.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.