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Finding the Third Proportional to 284,920 and 609,368

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Solution

The third proportional to 284,920 and 609,368 is: 1,303,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,920 : 609,368 = 609,368 : x
  2. Step 2: Convert to fraction form
    284,920/609,368 = 609,368/x
  3. Step 3: Cross multiply
    284,920x = 609,368 × 609,368
  4. Step 4: Simplify right side
    284,920x = 371,329,359,424
  5. Step 5: Solve for x
    x = 371,329,359,424/284,920
  6. Step 6: Final answer
    x = 1,303,275.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.