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Finding the Third Proportional to 21,243,951 and 31,734,726.75

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Solution

The third proportional to 21,243,951 and 31,734,726.75 is: 47,406,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,243,951 : 31,734,726.75 = 31,734,726.75 : x
  2. Step 2: Convert to fraction form
    21,243,951/31,734,726.75 = 31,734,726.75/x
  3. Step 3: Cross multiply
    21,243,951x = 31,734,726.75 × 31,734,726.75
  4. Step 4: Simplify right side
    21,243,951x = 1,007,092,881,897,165.50
  5. Step 5: Solve for x
    x = 1,007,092,881,897,165.50/21,243,951
  6. Step 6: Final answer
    x = 47,406,100.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.