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Finding the Third Proportional to 7,205,110 and 15,689,516

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Solution

The third proportional to 7,205,110 and 15,689,516 is: 34,164,768.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205,110 : 15,689,516 = 15,689,516 : x
  2. Step 2: Convert to fraction form
    7,205,110/15,689,516 = 15,689,516/x
  3. Step 3: Cross multiply
    7,205,110x = 15,689,516 × 15,689,516
  4. Step 4: Simplify right side
    7,205,110x = 246,160,912,314,256
  5. Step 5: Solve for x
    x = 246,160,912,314,256/7,205,110
  6. Step 6: Final answer
    x = 34,164,768.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.