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Finding the Third Proportional to 291,402 and 624,276

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Solution

The third proportional to 291,402 and 624,276 is: 1,337,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,402 : 624,276 = 624,276 : x
  2. Step 2: Convert to fraction form
    291,402/624,276 = 624,276/x
  3. Step 3: Cross multiply
    291,402x = 624,276 × 624,276
  4. Step 4: Simplify right side
    291,402x = 389,720,524,176
  5. Step 5: Solve for x
    x = 389,720,524,176/291,402
  6. Step 6: Final answer
    x = 1,337,398.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.