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Finding the Third Proportional to 648,399 and 1,408,927

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Solution

The third proportional to 648,399 and 1,408,927 is: 3,061,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,399 : 1,408,927 = 1,408,927 : x
  2. Step 2: Convert to fraction form
    648,399/1,408,927 = 1,408,927/x
  3. Step 3: Cross multiply
    648,399x = 1,408,927 × 1,408,927
  4. Step 4: Simplify right side
    648,399x = 1,985,075,291,329
  5. Step 5: Solve for x
    x = 1,985,075,291,329/648,399
  6. Step 6: Final answer
    x = 3,061,502.70

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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.