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Finding the Third Proportional to 9,639,216 and 20,865,360

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Solution

The third proportional to 9,639,216 and 20,865,360 is: 45,165,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639,216 : 20,865,360 = 20,865,360 : x
  2. Step 2: Convert to fraction form
    9,639,216/20,865,360 = 20,865,360/x
  3. Step 3: Cross multiply
    9,639,216x = 20,865,360 × 20,865,360
  4. Step 4: Simplify right side
    9,639,216x = 435,363,247,929,600
  5. Step 5: Solve for x
    x = 435,363,247,929,600/9,639,216
  6. Step 6: Final answer
    x = 45,165,835.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.