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Finding the Third Proportional to 623.06 and 1,310.63

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Solution

The third proportional to 623.06 and 1,310.63 is: 2,756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.06 : 1,310.63 = 1,310.63 : x
  2. Step 2: Convert to fraction form
    623.06/1,310.63 = 1,310.63/x
  3. Step 3: Cross multiply
    623.06x = 1,310.63 × 1,310.63
  4. Step 4: Simplify right side
    623.06x = 1,717,737.89
  5. Step 5: Solve for x
    x = 1,717,737.89/623.06
  6. Step 6: Final answer
    x = 2,756.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.