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Finding the Third Proportional to 255,075 and 556,777.50

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Solution

The third proportional to 255,075 and 556,777.50 is: 1,215,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,075 : 556,777.50 = 556,777.50 : x
  2. Step 2: Convert to fraction form
    255,075/556,777.50 = 556,777.50/x
  3. Step 3: Cross multiply
    255,075x = 556,777.50 × 556,777.50
  4. Step 4: Simplify right side
    255,075x = 310,001,184,506.25
  5. Step 5: Solve for x
    x = 310,001,184,506.25/255,075
  6. Step 6: Final answer
    x = 1,215,333.47

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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.