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Finding the Third Proportional to 490,135 and 749,621

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Solution

The third proportional to 490,135 and 749,621 is: 1,146,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,135 : 749,621 = 749,621 : x
  2. Step 2: Convert to fraction form
    490,135/749,621 = 749,621/x
  3. Step 3: Cross multiply
    490,135x = 749,621 × 749,621
  4. Step 4: Simplify right side
    490,135x = 561,931,643,641
  5. Step 5: Solve for x
    x = 561,931,643,641/490,135
  6. Step 6: Final answer
    x = 1,146,483.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.