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Finding the Third Proportional to 22,925,385 and 34,683,871.50

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Solution

The third proportional to 22,925,385 and 34,683,871.50 is: 52,473,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,925,385 : 34,683,871.50 = 34,683,871.50 : x
  2. Step 2: Convert to fraction form
    22,925,385/34,683,871.50 = 34,683,871.50/x
  3. Step 3: Cross multiply
    22,925,385x = 34,683,871.50 × 34,683,871.50
  4. Step 4: Simplify right side
    22,925,385x = 1,202,970,942,228,512.25
  5. Step 5: Solve for x
    x = 1,202,970,942,228,512.25/22,925,385
  6. Step 6: Final answer
    x = 52,473,314.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.