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Finding the Third Proportional to 286,490 and 623,956

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Solution

The third proportional to 286,490 and 623,956 is: 1,358,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,490 : 623,956 = 623,956 : x
  2. Step 2: Convert to fraction form
    286,490/623,956 = 623,956/x
  3. Step 3: Cross multiply
    286,490x = 623,956 × 623,956
  4. Step 4: Simplify right side
    286,490x = 389,321,089,936
  5. Step 5: Solve for x
    x = 389,321,089,936/286,490
  6. Step 6: Final answer
    x = 1,358,934.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.