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Finding the Third Proportional to 435,368 and 665,940

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Solution

The third proportional to 435,368 and 665,940 is: 1,018,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,368 : 665,940 = 665,940 : x
  2. Step 2: Convert to fraction form
    435,368/665,940 = 665,940/x
  3. Step 3: Cross multiply
    435,368x = 665,940 × 665,940
  4. Step 4: Simplify right side
    435,368x = 443,476,083,600
  5. Step 5: Solve for x
    x = 443,476,083,600/435,368
  6. Step 6: Final answer
    x = 1,018,623.52

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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.