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Finding the Third Proportional to 9,497,438.34 and 20,709,751.65

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Solution

The third proportional to 9,497,438.34 and 20,709,751.65 is: 45,158,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497,438.34 : 20,709,751.65 = 20,709,751.65 : x
  2. Step 2: Convert to fraction form
    9,497,438.34/20,709,751.65 = 20,709,751.65/x
  3. Step 3: Cross multiply
    9,497,438.34x = 20,709,751.65 × 20,709,751.65
  4. Step 4: Simplify right side
    9,497,438.34x = 428,893,813,380,364.50
  5. Step 5: Solve for x
    x = 428,893,813,380,364.50/9,497,438.34
  6. Step 6: Final answer
    x = 45,158,894.22

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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.