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Finding the Third Proportional to 635,805 and 891,211.50

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Solution

The third proportional to 635,805 and 891,211.50 is: 1,249,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,805 : 891,211.50 = 891,211.50 : x
  2. Step 2: Convert to fraction form
    635,805/891,211.50 = 891,211.50/x
  3. Step 3: Cross multiply
    635,805x = 891,211.50 × 891,211.50
  4. Step 4: Simplify right side
    635,805x = 794,257,937,732.25
  5. Step 5: Solve for x
    x = 794,257,937,732.25/635,805
  6. Step 6: Final answer
    x = 1,249,216.25

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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.