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Finding the Third Proportional to 653.06 and 915.47

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Solution

The third proportional to 653.06 and 915.47 is: 1,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.06 : 915.47 = 915.47 : x
  2. Step 2: Convert to fraction form
    653.06/915.47 = 915.47/x
  3. Step 3: Cross multiply
    653.06x = 915.47 × 915.47
  4. Step 4: Simplify right side
    653.06x = 838,083.03
  5. Step 5: Solve for x
    x = 838,083.03/653.06
  6. Step 6: Final answer
    x = 1,283.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.