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Finding the Third Proportional to 10,306,505 and 21,460,781

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Solution

The third proportional to 10,306,505 and 21,460,781 is: 44,686,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306,505 : 21,460,781 = 21,460,781 : x
  2. Step 2: Convert to fraction form
    10,306,505/21,460,781 = 21,460,781/x
  3. Step 3: Cross multiply
    10,306,505x = 21,460,781 × 21,460,781
  4. Step 4: Simplify right side
    10,306,505x = 460,565,121,129,961
  5. Step 5: Solve for x
    x = 460,565,121,129,961/10,306,505
  6. Step 6: Final answer
    x = 44,686,838.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.