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Finding the Third Proportional to 435,370 and 665,943

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Solution

The third proportional to 435,370 and 665,943 is: 1,018,628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,370 : 665,943 = 665,943 : x
  2. Step 2: Convert to fraction form
    435,370/665,943 = 665,943/x
  3. Step 3: Cross multiply
    435,370x = 665,943 × 665,943
  4. Step 4: Simplify right side
    435,370x = 443,480,079,249
  5. Step 5: Solve for x
    x = 443,480,079,249/435,370
  6. Step 6: Final answer
    x = 1,018,628.02

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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.