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Finding the Third Proportional to 916.88 and 1,313.44

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Solution

The third proportional to 916.88 and 1,313.44 is: 1,881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.88 : 1,313.44 = 1,313.44 : x
  2. Step 2: Convert to fraction form
    916.88/1,313.44 = 1,313.44/x
  3. Step 3: Cross multiply
    916.88x = 1,313.44 × 1,313.44
  4. Step 4: Simplify right side
    916.88x = 1,725,118.07
  5. Step 5: Solve for x
    x = 1,725,118.07/916.88
  6. Step 6: Final answer
    x = 1,881.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.