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Finding the Third Proportional to 208,510.31 and 454,442.63

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Solution

The third proportional to 208,510.31 and 454,442.63 is: 990,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,510.31 : 454,442.63 = 454,442.63 : x
  2. Step 2: Convert to fraction form
    208,510.31/454,442.63 = 454,442.63/x
  3. Step 3: Cross multiply
    208,510.31x = 454,442.63 × 454,442.63
  4. Step 4: Simplify right side
    208,510.31x = 206,518,099,416.89
  5. Step 5: Solve for x
    x = 206,518,099,416.89/208,510.31
  6. Step 6: Final answer
    x = 990,445.49

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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.