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Finding the Third Proportional to 266,768.44 and 390,159.28

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Solution

The third proportional to 266,768.44 and 390,159.28 is: 570,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,768.44 : 390,159.28 = 390,159.28 : x
  2. Step 2: Convert to fraction form
    266,768.44/390,159.28 = 390,159.28/x
  3. Step 3: Cross multiply
    266,768.44x = 390,159.28 × 390,159.28
  4. Step 4: Simplify right side
    266,768.44x = 152,224,264,745.52
  5. Step 5: Solve for x
    x = 152,224,264,745.52/266,768.44
  6. Step 6: Final answer
    x = 570,623.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.