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Finding the Third Proportional to 290,220 and 448,446

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Solution

The third proportional to 290,220 and 448,446 is: 692,935.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,220 : 448,446 = 448,446 : x
  2. Step 2: Convert to fraction form
    290,220/448,446 = 448,446/x
  3. Step 3: Cross multiply
    290,220x = 448,446 × 448,446
  4. Step 4: Simplify right side
    290,220x = 201,103,814,916
  5. Step 5: Solve for x
    x = 201,103,814,916/290,220
  6. Step 6: Final answer
    x = 692,935.76

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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.