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Finding the Third Proportional to 9,513,280 and 20,915,840

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Solution

The third proportional to 9,513,280 and 20,915,840 is: 45,985,439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513,280 : 20,915,840 = 20,915,840 : x
  2. Step 2: Convert to fraction form
    9,513,280/20,915,840 = 20,915,840/x
  3. Step 3: Cross multiply
    9,513,280x = 20,915,840 × 20,915,840
  4. Step 4: Simplify right side
    9,513,280x = 437,472,362,905,600
  5. Step 5: Solve for x
    x = 437,472,362,905,600/9,513,280
  6. Step 6: Final answer
    x = 45,985,439.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.