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Finding the Third Proportional to 99,801,774.50 and 218,417,689.50

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Solution

The third proportional to 99,801,774.50 and 218,417,689.50 is: 478,010,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,801,774.50 : 218,417,689.50 = 218,417,689.50 : x
  2. Step 2: Convert to fraction form
    99,801,774.50/218,417,689.50 = 218,417,689.50/x
  3. Step 3: Cross multiply
    99,801,774.50x = 218,417,689.50 × 218,417,689.50
  4. Step 4: Simplify right side
    99,801,774.50x = 47,706,287,086,518,408
  5. Step 5: Solve for x
    x = 47,706,287,086,518,408/99,801,774.50
  6. Step 6: Final answer
    x = 478,010,409.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.