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Finding the Third Proportional to 21,197,025 and 45,915,487

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Solution

The third proportional to 21,197,025 and 45,915,487 is: 99,458,860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197,025 : 45,915,487 = 45,915,487 : x
  2. Step 2: Convert to fraction form
    21,197,025/45,915,487 = 45,915,487/x
  3. Step 3: Cross multiply
    21,197,025x = 45,915,487 × 45,915,487
  4. Step 4: Simplify right side
    21,197,025x = 2,108,231,946,447,169
  5. Step 5: Solve for x
    x = 2,108,231,946,447,169/21,197,025
  6. Step 6: Final answer
    x = 99,458,860.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.