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Finding the Third Proportional to 7,770,240 and 16,487,280

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Solution

The third proportional to 7,770,240 and 16,487,280 is: 34,983,527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770,240 : 16,487,280 = 16,487,280 : x
  2. Step 2: Convert to fraction form
    7,770,240/16,487,280 = 16,487,280/x
  3. Step 3: Cross multiply
    7,770,240x = 16,487,280 × 16,487,280
  4. Step 4: Simplify right side
    7,770,240x = 271,830,401,798,400
  5. Step 5: Solve for x
    x = 271,830,401,798,400/7,770,240
  6. Step 6: Final answer
    x = 34,983,527.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.