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Finding the Third Proportional to 4,752 and 7,862.06

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Solution

The third proportional to 4,752 and 7,862.06 is: 13,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752 : 7,862.06 = 7,862.06 : x
  2. Step 2: Convert to fraction form
    4,752/7,862.06 = 7,862.06/x
  3. Step 3: Cross multiply
    4,752x = 7,862.06 × 7,862.06
  4. Step 4: Simplify right side
    4,752x = 61,812,026.75
  5. Step 5: Solve for x
    x = 61,812,026.75/4,752
  6. Step 6: Final answer
    x = 13,007.58

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.