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Finding the Third Proportional to 7,140 and 16,490

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Solution

The third proportional to 7,140 and 16,490 is: 38,084.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140 : 16,490 = 16,490 : x
  2. Step 2: Convert to fraction form
    7,140/16,490 = 16,490/x
  3. Step 3: Cross multiply
    7,140x = 16,490 × 16,490
  4. Step 4: Simplify right side
    7,140x = 271,920,100
  5. Step 5: Solve for x
    x = 271,920,100/7,140
  6. Step 6: Final answer
    x = 38,084.05

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.