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Finding the Third Proportional to 435,490 and 666,196

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Solution

The third proportional to 435,490 and 666,196 is: 1,019,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,490 : 666,196 = 666,196 : x
  2. Step 2: Convert to fraction form
    435,490/666,196 = 666,196/x
  3. Step 3: Cross multiply
    435,490x = 666,196 × 666,196
  4. Step 4: Simplify right side
    435,490x = 443,817,110,416
  5. Step 5: Solve for x
    x = 443,817,110,416/435,490
  6. Step 6: Final answer
    x = 1,019,121.24

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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.