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Finding the Third Proportional to 1,387,408 and 2,997,712

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Solution

The third proportional to 1,387,408 and 2,997,712 is: 6,477,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387,408 : 2,997,712 = 2,997,712 : x
  2. Step 2: Convert to fraction form
    1,387,408/2,997,712 = 2,997,712/x
  3. Step 3: Cross multiply
    1,387,408x = 2,997,712 × 2,997,712
  4. Step 4: Simplify right side
    1,387,408x = 8,986,277,234,944
  5. Step 5: Solve for x
    x = 8,986,277,234,944/1,387,408
  6. Step 6: Final answer
    x = 6,477,025.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.