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Finding the Third Proportional to 289,958 and 624,820

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Solution

The third proportional to 289,958 and 624,820 is: 1,346,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,958 : 624,820 = 624,820 : x
  2. Step 2: Convert to fraction form
    289,958/624,820 = 624,820/x
  3. Step 3: Cross multiply
    289,958x = 624,820 × 624,820
  4. Step 4: Simplify right side
    289,958x = 390,400,032,400
  5. Step 5: Solve for x
    x = 390,400,032,400/289,958
  6. Step 6: Final answer
    x = 1,346,402.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.