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Finding the Third Proportional to 155,256.88 and 316,223.25

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Solution

The third proportional to 155,256.88 and 316,223.25 is: 644,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,256.88 : 316,223.25 = 316,223.25 : x
  2. Step 2: Convert to fraction form
    155,256.88/316,223.25 = 316,223.25/x
  3. Step 3: Cross multiply
    155,256.88x = 316,223.25 × 316,223.25
  4. Step 4: Simplify right side
    155,256.88x = 99,997,143,840.56
  5. Step 5: Solve for x
    x = 99,997,143,840.56/155,256.88
  6. Step 6: Final answer
    x = 644,075.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.