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Finding the Third Proportional to 768,294 and 1,122,907.50

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Solution

The third proportional to 768,294 and 1,122,907.50 is: 1,641,196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,294 : 1,122,907.50 = 1,122,907.50 : x
  2. Step 2: Convert to fraction form
    768,294/1,122,907.50 = 1,122,907.50/x
  3. Step 3: Cross multiply
    768,294x = 1,122,907.50 × 1,122,907.50
  4. Step 4: Simplify right side
    768,294x = 1,260,921,253,556.25
  5. Step 5: Solve for x
    x = 1,260,921,253,556.25/768,294
  6. Step 6: Final answer
    x = 1,641,196.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.