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Finding the Third Proportional to 90,860,025 and 198,371,868.25

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Solution

The third proportional to 90,860,025 and 198,371,868.25 is: 433,099,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,860,025 : 198,371,868.25 = 198,371,868.25 : x
  2. Step 2: Convert to fraction form
    90,860,025/198,371,868.25 = 198,371,868.25/x
  3. Step 3: Cross multiply
    90,860,025x = 198,371,868.25 × 198,371,868.25
  4. Step 4: Simplify right side
    90,860,025x = 39,351,398,112,995,360
  5. Step 5: Solve for x
    x = 39,351,398,112,995,360/90,860,025
  6. Step 6: Final answer
    x = 433,099,133.67

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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.