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Finding the Third Proportional to 872,289 and 1,850,220

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Solution

The third proportional to 872,289 and 1,850,220 is: 3,924,518.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,289 : 1,850,220 = 1,850,220 : x
  2. Step 2: Convert to fraction form
    872,289/1,850,220 = 1,850,220/x
  3. Step 3: Cross multiply
    872,289x = 1,850,220 × 1,850,220
  4. Step 4: Simplify right side
    872,289x = 3,423,314,048,400
  5. Step 5: Solve for x
    x = 3,423,314,048,400/872,289
  6. Step 6: Final answer
    x = 3,924,518.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.