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Finding the Third Proportional to 1,710,355.50 and 3,718,408.78

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Solution

The third proportional to 1,710,355.50 and 3,718,408.78 is: 8,084,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710,355.50 : 3,718,408.78 = 3,718,408.78 : x
  2. Step 2: Convert to fraction form
    1,710,355.50/3,718,408.78 = 3,718,408.78/x
  3. Step 3: Cross multiply
    1,710,355.50x = 3,718,408.78 × 3,718,408.78
  4. Step 4: Simplify right side
    1,710,355.50x = 13,826,563,864,477.11
  5. Step 5: Solve for x
    x = 13,826,563,864,477.11/1,710,355.50
  6. Step 6: Final answer
    x = 8,084,029.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.