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Finding the Third Proportional to 388,395 and 524,751.75

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Solution

The third proportional to 388,395 and 524,751.75 is: 708,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,395 : 524,751.75 = 524,751.75 : x
  2. Step 2: Convert to fraction form
    388,395/524,751.75 = 524,751.75/x
  3. Step 3: Cross multiply
    388,395x = 524,751.75 × 524,751.75
  4. Step 4: Simplify right side
    388,395x = 275,364,399,128.06
  5. Step 5: Solve for x
    x = 275,364,399,128.06/388,395
  6. Step 6: Final answer
    x = 708,980.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.