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Finding the Third Proportional to 4,484,178 and 9,840,420

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Solution

The third proportional to 4,484,178 and 9,840,420 is: 21,594,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,484,178 : 9,840,420 = 9,840,420 : x
  2. Step 2: Convert to fraction form
    4,484,178/9,840,420 = 9,840,420/x
  3. Step 3: Cross multiply
    4,484,178x = 9,840,420 × 9,840,420
  4. Step 4: Simplify right side
    4,484,178x = 96,833,865,776,400
  5. Step 5: Solve for x
    x = 96,833,865,776,400/4,484,178
  6. Step 6: Final answer
    x = 21,594,563.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.