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Finding the Third Proportional to 338,855.63 and 712,656.56

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Solution

The third proportional to 338,855.63 and 712,656.56 is: 1,498,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,855.63 : 712,656.56 = 712,656.56 : x
  2. Step 2: Convert to fraction form
    338,855.63/712,656.56 = 712,656.56/x
  3. Step 3: Cross multiply
    338,855.63x = 712,656.56 × 712,656.56
  4. Step 4: Simplify right side
    338,855.63x = 507,879,376,074.32
  5. Step 5: Solve for x
    x = 507,879,376,074.32/338,855.63
  6. Step 6: Final answer
    x = 1,498,807.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.