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Finding the Third Proportional to 450,630 and 697,518

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Solution

The third proportional to 450,630 and 697,518 is: 1,079,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,630 : 697,518 = 697,518 : x
  2. Step 2: Convert to fraction form
    450,630/697,518 = 697,518/x
  3. Step 3: Cross multiply
    450,630x = 697,518 × 697,518
  4. Step 4: Simplify right side
    450,630x = 486,531,360,324
  5. Step 5: Solve for x
    x = 486,531,360,324/450,630
  6. Step 6: Final answer
    x = 1,079,669.26

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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.