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Finding the Third Proportional to 435,282.75 and 665,802.75

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Solution

The third proportional to 435,282.75 and 665,802.75 is: 1,018,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,282.75 : 665,802.75 = 665,802.75 : x
  2. Step 2: Convert to fraction form
    435,282.75/665,802.75 = 665,802.75/x
  3. Step 3: Cross multiply
    435,282.75x = 665,802.75 × 665,802.75
  4. Step 4: Simplify right side
    435,282.75x = 443,293,301,907.56
  5. Step 5: Solve for x
    x = 443,293,301,907.56/435,282.75
  6. Step 6: Final answer
    x = 1,018,403.10

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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.