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Finding the Third Proportional to 623,297 and 831,873

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Solution

The third proportional to 623,297 and 831,873 is: 1,110,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,297 : 831,873 = 831,873 : x
  2. Step 2: Convert to fraction form
    623,297/831,873 = 831,873/x
  3. Step 3: Cross multiply
    623,297x = 831,873 × 831,873
  4. Step 4: Simplify right side
    623,297x = 692,012,688,129
  5. Step 5: Solve for x
    x = 692,012,688,129/623,297
  6. Step 6: Final answer
    x = 1,110,245.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.