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Finding the Third Proportional to 7,128,210 and 10,299,035

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Solution

The third proportional to 7,128,210 and 10,299,035 is: 14,880,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128,210 : 10,299,035 = 10,299,035 : x
  2. Step 2: Convert to fraction form
    7,128,210/10,299,035 = 10,299,035/x
  3. Step 3: Cross multiply
    7,128,210x = 10,299,035 × 10,299,035
  4. Step 4: Simplify right side
    7,128,210x = 106,070,121,931,225
  5. Step 5: Solve for x
    x = 106,070,121,931,225/7,128,210
  6. Step 6: Final answer
    x = 14,880,330.68

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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.