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Finding the Third Proportional to 280,278 and 428,652

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Solution

The third proportional to 280,278 and 428,652 is: 655,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,278 : 428,652 = 428,652 : x
  2. Step 2: Convert to fraction form
    280,278/428,652 = 428,652/x
  3. Step 3: Cross multiply
    280,278x = 428,652 × 428,652
  4. Step 4: Simplify right side
    280,278x = 183,742,537,104
  5. Step 5: Solve for x
    x = 183,742,537,104/280,278
  6. Step 6: Final answer
    x = 655,572.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.