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Finding the Third Proportional to 851,090 and 1,260,203

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Solution

The third proportional to 851,090 and 1,260,203 is: 1,865,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,090 : 1,260,203 = 1,260,203 : x
  2. Step 2: Convert to fraction form
    851,090/1,260,203 = 1,260,203/x
  3. Step 3: Cross multiply
    851,090x = 1,260,203 × 1,260,203
  4. Step 4: Simplify right side
    851,090x = 1,588,111,601,209
  5. Step 5: Solve for x
    x = 1,588,111,601,209/851,090
  6. Step 6: Final answer
    x = 1,865,973.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.