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Finding the Third Proportional to 610,680.50 and 843,846

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Solution

The third proportional to 610,680.50 and 843,846 is: 1,166,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,680.50 : 843,846 = 843,846 : x
  2. Step 2: Convert to fraction form
    610,680.50/843,846 = 843,846/x
  3. Step 3: Cross multiply
    610,680.50x = 843,846 × 843,846
  4. Step 4: Simplify right side
    610,680.50x = 712,076,071,716
  5. Step 5: Solve for x
    x = 712,076,071,716/610,680.50
  6. Step 6: Final answer
    x = 1,166,037.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.