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Finding the Third Proportional to 385,988 and 850,507

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Solution

The third proportional to 385,988 and 850,507 is: 1,874,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,988 : 850,507 = 850,507 : x
  2. Step 2: Convert to fraction form
    385,988/850,507 = 850,507/x
  3. Step 3: Cross multiply
    385,988x = 850,507 × 850,507
  4. Step 4: Simplify right side
    385,988x = 723,362,157,049
  5. Step 5: Solve for x
    x = 723,362,157,049/385,988
  6. Step 6: Final answer
    x = 1,874,053.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.