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Finding the Third Proportional to 368,595 and 578,317.50

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Solution

The third proportional to 368,595 and 578,317.50 is: 907,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,595 : 578,317.50 = 578,317.50 : x
  2. Step 2: Convert to fraction form
    368,595/578,317.50 = 578,317.50/x
  3. Step 3: Cross multiply
    368,595x = 578,317.50 × 578,317.50
  4. Step 4: Simplify right side
    368,595x = 334,451,130,806.25
  5. Step 5: Solve for x
    x = 334,451,130,806.25/368,595
  6. Step 6: Final answer
    x = 907,367.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.