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Finding the Third Proportional to 397,786,140 and 867,828,492

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Solution

The third proportional to 397,786,140 and 867,828,492 is: 1,893,294,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,786,140 : 867,828,492 = 867,828,492 : x
  2. Step 2: Convert to fraction form
    397,786,140/867,828,492 = 867,828,492/x
  3. Step 3: Cross multiply
    397,786,140x = 867,828,492 × 867,828,492
  4. Step 4: Simplify right side
    397,786,140x = 753,126,291,526,994,048
  5. Step 5: Solve for x
    x = 753,126,291,526,994,048/397,786,140
  6. Step 6: Final answer
    x = 1,893,294,450.95

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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.