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Finding the Third Proportional to 281,070 and 455,503.50

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Solution

The third proportional to 281,070 and 455,503.50 is: 738,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,070 : 455,503.50 = 455,503.50 : x
  2. Step 2: Convert to fraction form
    281,070/455,503.50 = 455,503.50/x
  3. Step 3: Cross multiply
    281,070x = 455,503.50 × 455,503.50
  4. Step 4: Simplify right side
    281,070x = 207,483,438,512.25
  5. Step 5: Solve for x
    x = 207,483,438,512.25/281,070
  6. Step 6: Final answer
    x = 738,191.33

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.