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Finding the Third Proportional to 610,915.50 and 1,342,024.88

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Solution

The third proportional to 610,915.50 and 1,342,024.88 is: 2,948,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,915.50 : 1,342,024.88 = 1,342,024.88 : x
  2. Step 2: Convert to fraction form
    610,915.50/1,342,024.88 = 1,342,024.88/x
  3. Step 3: Cross multiply
    610,915.50x = 1,342,024.88 × 1,342,024.88
  4. Step 4: Simplify right side
    610,915.50x = 1,801,030,765,118.77
  5. Step 5: Solve for x
    x = 1,801,030,765,118.77/610,915.50
  6. Step 6: Final answer
    x = 2,948,084.91

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