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Finding the Third Proportional to 4,857,759 and 7,129,012.50

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Solution

The third proportional to 4,857,759 and 7,129,012.50 is: 10,462,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857,759 : 7,129,012.50 = 7,129,012.50 : x
  2. Step 2: Convert to fraction form
    4,857,759/7,129,012.50 = 7,129,012.50/x
  3. Step 3: Cross multiply
    4,857,759x = 7,129,012.50 × 7,129,012.50
  4. Step 4: Simplify right side
    4,857,759x = 50,822,819,225,156.25
  5. Step 5: Solve for x
    x = 50,822,819,225,156.25/4,857,759
  6. Step 6: Final answer
    x = 10,462,194.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.