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Finding the Third Proportional to 7,143,290 and 10,781,365

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Solution

The third proportional to 7,143,290 and 10,781,365 is: 16,272,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143,290 : 10,781,365 = 10,781,365 : x
  2. Step 2: Convert to fraction form
    7,143,290/10,781,365 = 10,781,365/x
  3. Step 3: Cross multiply
    7,143,290x = 10,781,365 × 10,781,365
  4. Step 4: Simplify right side
    7,143,290x = 116,237,831,263,225
  5. Step 5: Solve for x
    x = 116,237,831,263,225/7,143,290
  6. Step 6: Final answer
    x = 16,272,310.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.