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Finding the Third Proportional to 290,376 and 448,632

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Solution

The third proportional to 290,376 and 448,632 is: 693,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,376 : 448,632 = 448,632 : x
  2. Step 2: Convert to fraction form
    290,376/448,632 = 448,632/x
  3. Step 3: Cross multiply
    290,376x = 448,632 × 448,632
  4. Step 4: Simplify right side
    290,376x = 201,270,671,424
  5. Step 5: Solve for x
    x = 201,270,671,424/290,376
  6. Step 6: Final answer
    x = 693,138.11

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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.