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Finding the Third Proportional to 923.48 and 1,354.64

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Solution

The third proportional to 923.48 and 1,354.64 is: 1,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.48 : 1,354.64 = 1,354.64 : x
  2. Step 2: Convert to fraction form
    923.48/1,354.64 = 1,354.64/x
  3. Step 3: Cross multiply
    923.48x = 1,354.64 × 1,354.64
  4. Step 4: Simplify right side
    923.48x = 1,835,051.22
  5. Step 5: Solve for x
    x = 1,835,051.22/923.48
  6. Step 6: Final answer
    x = 1,987.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.