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Finding the Third Proportional to 15,420 and 23,490

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Solution

The third proportional to 15,420 and 23,490 is: 35,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,420 : 23,490 = 23,490 : x
  2. Step 2: Convert to fraction form
    15,420/23,490 = 23,490/x
  3. Step 3: Cross multiply
    15,420x = 23,490 × 23,490
  4. Step 4: Simplify right side
    15,420x = 551,780,100
  5. Step 5: Solve for x
    x = 551,780,100/15,420
  6. Step 6: Final answer
    x = 35,783.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.