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Finding the Third Proportional to 21,148,411.50 and 31,862,633.25

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Solution

The third proportional to 21,148,411.50 and 31,862,633.25 is: 48,004,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148,411.50 : 31,862,633.25 = 31,862,633.25 : x
  2. Step 2: Convert to fraction form
    21,148,411.50/31,862,633.25 = 31,862,633.25/x
  3. Step 3: Cross multiply
    21,148,411.50x = 31,862,633.25 × 31,862,633.25
  4. Step 4: Simplify right side
    21,148,411.50x = 1,015,227,397,624,005.50
  5. Step 5: Solve for x
    x = 1,015,227,397,624,005.50/21,148,411.50
  6. Step 6: Final answer
    x = 48,004,900.87

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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.