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Finding the Third Proportional to 288,820 and 446,342

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Solution

The third proportional to 288,820 and 446,342 is: 689,776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,820 : 446,342 = 446,342 : x
  2. Step 2: Convert to fraction form
    288,820/446,342 = 446,342/x
  3. Step 3: Cross multiply
    288,820x = 446,342 × 446,342
  4. Step 4: Simplify right side
    288,820x = 199,221,180,964
  5. Step 5: Solve for x
    x = 199,221,180,964/288,820
  6. Step 6: Final answer
    x = 689,776.27

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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.