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Finding the Third Proportional to 423,621 and 660,440

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Solution

The third proportional to 423,621 and 660,440 is: 1,029,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,621 : 660,440 = 660,440 : x
  2. Step 2: Convert to fraction form
    423,621/660,440 = 660,440/x
  3. Step 3: Cross multiply
    423,621x = 660,440 × 660,440
  4. Step 4: Simplify right side
    423,621x = 436,180,993,600
  5. Step 5: Solve for x
    x = 436,180,993,600/423,621
  6. Step 6: Final answer
    x = 1,029,649.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.