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Finding the Third Proportional to 282,820 and 609,920

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Solution

The third proportional to 282,820 and 609,920 is: 1,315,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,820 : 609,920 = 609,920 : x
  2. Step 2: Convert to fraction form
    282,820/609,920 = 609,920/x
  3. Step 3: Cross multiply
    282,820x = 609,920 × 609,920
  4. Step 4: Simplify right side
    282,820x = 372,002,406,400
  5. Step 5: Solve for x
    x = 372,002,406,400/282,820
  6. Step 6: Final answer
    x = 1,315,332.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.