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Finding the Third Proportional to 978,088.50 and 2,100,782.25

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Solution

The third proportional to 978,088.50 and 2,100,782.25 is: 4,512,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,088.50 : 2,100,782.25 = 2,100,782.25 : x
  2. Step 2: Convert to fraction form
    978,088.50/2,100,782.25 = 2,100,782.25/x
  3. Step 3: Cross multiply
    978,088.50x = 2,100,782.25 × 2,100,782.25
  4. Step 4: Simplify right side
    978,088.50x = 4,413,286,061,915.06
  5. Step 5: Solve for x
    x = 4,413,286,061,915.06/978,088.50
  6. Step 6: Final answer
    x = 4,512,154.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.