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Finding the Third Proportional to 635,827 and 891,109

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Solution

The third proportional to 635,827 and 891,109 is: 1,248,885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,827 : 891,109 = 891,109 : x
  2. Step 2: Convert to fraction form
    635,827/891,109 = 891,109/x
  3. Step 3: Cross multiply
    635,827x = 891,109 × 891,109
  4. Step 4: Simplify right side
    635,827x = 794,075,249,881
  5. Step 5: Solve for x
    x = 794,075,249,881/635,827
  6. Step 6: Final answer
    x = 1,248,885.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.