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Finding the Third Proportional to 553,461 and 831,900

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Solution

The third proportional to 553,461 and 831,900 is: 1,250,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,461 : 831,900 = 831,900 : x
  2. Step 2: Convert to fraction form
    553,461/831,900 = 831,900/x
  3. Step 3: Cross multiply
    553,461x = 831,900 × 831,900
  4. Step 4: Simplify right side
    553,461x = 692,057,610,000
  5. Step 5: Solve for x
    x = 692,057,610,000/553,461
  6. Step 6: Final answer
    x = 1,250,418.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.