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Finding the Third Proportional to 21,690,089 and 31,703,869.50

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Solution

The third proportional to 21,690,089 and 31,703,869.50 is: 46,340,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,690,089 : 31,703,869.50 = 31,703,869.50 : x
  2. Step 2: Convert to fraction form
    21,690,089/31,703,869.50 = 31,703,869.50/x
  3. Step 3: Cross multiply
    21,690,089x = 31,703,869.50 × 31,703,869.50
  4. Step 4: Simplify right side
    21,690,089x = 1,005,135,341,273,030.25
  5. Step 5: Solve for x
    x = 1,005,135,341,273,030.25/21,690,089
  6. Step 6: Final answer
    x = 46,340,766.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.