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Finding the Third Proportional to 838,598 and 1,117,278

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Solution

The third proportional to 838,598 and 1,117,278 is: 1,488,567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,598 : 1,117,278 = 1,117,278 : x
  2. Step 2: Convert to fraction form
    838,598/1,117,278 = 1,117,278/x
  3. Step 3: Cross multiply
    838,598x = 1,117,278 × 1,117,278
  4. Step 4: Simplify right side
    838,598x = 1,248,310,129,284
  5. Step 5: Solve for x
    x = 1,248,310,129,284/838,598
  6. Step 6: Final answer
    x = 1,488,567.98

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.