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Finding the Third Proportional to 369,686 and 528,271

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Solution

The third proportional to 369,686 and 528,271 is: 754,884.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,686 : 528,271 = 528,271 : x
  2. Step 2: Convert to fraction form
    369,686/528,271 = 528,271/x
  3. Step 3: Cross multiply
    369,686x = 528,271 × 528,271
  4. Step 4: Simplify right side
    369,686x = 279,070,249,441
  5. Step 5: Solve for x
    x = 279,070,249,441/369,686
  6. Step 6: Final answer
    x = 754,884.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.