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Finding the Third Proportional to 770,521.50 and 1,664,438.25

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Solution

The third proportional to 770,521.50 and 1,664,438.25 is: 3,595,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,521.50 : 1,664,438.25 = 1,664,438.25 : x
  2. Step 2: Convert to fraction form
    770,521.50/1,664,438.25 = 1,664,438.25/x
  3. Step 3: Cross multiply
    770,521.50x = 1,664,438.25 × 1,664,438.25
  4. Step 4: Simplify right side
    770,521.50x = 2,770,354,688,063.06
  5. Step 5: Solve for x
    x = 2,770,354,688,063.06/770,521.50
  6. Step 6: Final answer
    x = 3,595,428.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.