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Finding the Third Proportional to 606,123 and 909,184.50

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Solution

The third proportional to 606,123 and 909,184.50 is: 1,363,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,123 : 909,184.50 = 909,184.50 : x
  2. Step 2: Convert to fraction form
    606,123/909,184.50 = 909,184.50/x
  3. Step 3: Cross multiply
    606,123x = 909,184.50 × 909,184.50
  4. Step 4: Simplify right side
    606,123x = 826,616,455,040.25
  5. Step 5: Solve for x
    x = 826,616,455,040.25/606,123
  6. Step 6: Final answer
    x = 1,363,776.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.