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Finding the Third Proportional to 435,664 and 666,312

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Solution

The third proportional to 435,664 and 666,312 is: 1,019,069.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,664 : 666,312 = 666,312 : x
  2. Step 2: Convert to fraction form
    435,664/666,312 = 666,312/x
  3. Step 3: Cross multiply
    435,664x = 666,312 × 666,312
  4. Step 4: Simplify right side
    435,664x = 443,971,681,344
  5. Step 5: Solve for x
    x = 443,971,681,344/435,664
  6. Step 6: Final answer
    x = 1,019,069.01

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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.