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Finding the Third Proportional to 281,590 and 612,750

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Solution

The third proportional to 281,590 and 612,750 is: 1,333,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,590 : 612,750 = 612,750 : x
  2. Step 2: Convert to fraction form
    281,590/612,750 = 612,750/x
  3. Step 3: Cross multiply
    281,590x = 612,750 × 612,750
  4. Step 4: Simplify right side
    281,590x = 375,462,562,500
  5. Step 5: Solve for x
    x = 375,462,562,500/281,590
  6. Step 6: Final answer
    x = 1,333,366.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.