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Finding the Third Proportional to 289,589,634 and 617,065,222.50

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Solution

The third proportional to 289,589,634 and 617,065,222.50 is: 1,314,858,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,589,634 : 617,065,222.50 = 617,065,222.50 : x
  2. Step 2: Convert to fraction form
    289,589,634/617,065,222.50 = 617,065,222.50/x
  3. Step 3: Cross multiply
    289,589,634x = 617,065,222.50 × 617,065,222.50
  4. Step 4: Simplify right side
    289,589,634x = 380,769,488,818,974,528
  5. Step 5: Solve for x
    x = 380,769,488,818,974,528/289,589,634
  6. Step 6: Final answer
    x = 1,314,858,835.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.