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Finding the Third Proportional to 281,056 and 609,140

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Solution

The third proportional to 281,056 and 609,140 is: 1,320,205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,056 : 609,140 = 609,140 : x
  2. Step 2: Convert to fraction form
    281,056/609,140 = 609,140/x
  3. Step 3: Cross multiply
    281,056x = 609,140 × 609,140
  4. Step 4: Simplify right side
    281,056x = 371,051,539,600
  5. Step 5: Solve for x
    x = 371,051,539,600/281,056
  6. Step 6: Final answer
    x = 1,320,205.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.