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Finding the Third Proportional to 255,784.71 and 556,980.68

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Solution

The third proportional to 255,784.71 and 556,980.68 is: 1,212,846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,784.71 : 556,980.68 = 556,980.68 : x
  2. Step 2: Convert to fraction form
    255,784.71/556,980.68 = 556,980.68/x
  3. Step 3: Cross multiply
    255,784.71x = 556,980.68 × 556,980.68
  4. Step 4: Simplify right side
    255,784.71x = 310,227,477,545.15
  5. Step 5: Solve for x
    x = 310,227,477,545.15/255,784.71
  6. Step 6: Final answer
    x = 1,212,846.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.