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Finding the Third Proportional to 282,636 and 621,054

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Solution

The third proportional to 282,636 and 621,054 is: 1,364,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,636 : 621,054 = 621,054 : x
  2. Step 2: Convert to fraction form
    282,636/621,054 = 621,054/x
  3. Step 3: Cross multiply
    282,636x = 621,054 × 621,054
  4. Step 4: Simplify right side
    282,636x = 385,708,070,916
  5. Step 5: Solve for x
    x = 385,708,070,916/282,636
  6. Step 6: Final answer
    x = 1,364,681.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.