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Finding the Third Proportional to 7,128,200 and 10,299,020

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Solution

The third proportional to 7,128,200 and 10,299,020 is: 14,880,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128,200 : 10,299,020 = 10,299,020 : x
  2. Step 2: Convert to fraction form
    7,128,200/10,299,020 = 10,299,020/x
  3. Step 3: Cross multiply
    7,128,200x = 10,299,020 × 10,299,020
  4. Step 4: Simplify right side
    7,128,200x = 106,069,812,960,400
  5. Step 5: Solve for x
    x = 106,069,812,960,400/7,128,200
  6. Step 6: Final answer
    x = 14,880,308.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.