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Finding the Third Proportional to 690,122 and 1,059,278

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Solution

The third proportional to 690,122 and 1,059,278 is: 1,625,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,122 : 1,059,278 = 1,059,278 : x
  2. Step 2: Convert to fraction form
    690,122/1,059,278 = 1,059,278/x
  3. Step 3: Cross multiply
    690,122x = 1,059,278 × 1,059,278
  4. Step 4: Simplify right side
    690,122x = 1,122,069,881,284
  5. Step 5: Solve for x
    x = 1,122,069,881,284/690,122
  6. Step 6: Final answer
    x = 1,625,900.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.