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Finding the Third Proportional to 6,492.66 and 10,088.30

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Solution

The third proportional to 6,492.66 and 10,088.30 is: 15,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.66 : 10,088.30 = 10,088.30 : x
  2. Step 2: Convert to fraction form
    6,492.66/10,088.30 = 10,088.30/x
  3. Step 3: Cross multiply
    6,492.66x = 10,088.30 × 10,088.30
  4. Step 4: Simplify right side
    6,492.66x = 101,773,733.84
  5. Step 5: Solve for x
    x = 101,773,733.84/6,492.66
  6. Step 6: Final answer
    x = 15,675.21

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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.