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Finding the Third Proportional to 687,044 and 1,090,278

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Solution

The third proportional to 687,044 and 1,090,278 is: 1,730,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,044 : 1,090,278 = 1,090,278 : x
  2. Step 2: Convert to fraction form
    687,044/1,090,278 = 1,090,278/x
  3. Step 3: Cross multiply
    687,044x = 1,090,278 × 1,090,278
  4. Step 4: Simplify right side
    687,044x = 1,188,706,117,284
  5. Step 5: Solve for x
    x = 1,188,706,117,284/687,044
  6. Step 6: Final answer
    x = 1,730,174.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.