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Finding the Third Proportional to 506.63 and 787.13

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Solution

The third proportional to 506.63 and 787.13 is: 1,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.63 : 787.13 = 787.13 : x
  2. Step 2: Convert to fraction form
    506.63/787.13 = 787.13/x
  3. Step 3: Cross multiply
    506.63x = 787.13 × 787.13
  4. Step 4: Simplify right side
    506.63x = 619,565.77
  5. Step 5: Solve for x
    x = 619,565.77/506.63
  6. Step 6: Final answer
    x = 1,222.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.