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Finding the Third Proportional to 640,273 and 856,429

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Solution

The third proportional to 640,273 and 856,429 is: 1,145,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,273 : 856,429 = 856,429 : x
  2. Step 2: Convert to fraction form
    640,273/856,429 = 856,429/x
  3. Step 3: Cross multiply
    640,273x = 856,429 × 856,429
  4. Step 4: Simplify right side
    640,273x = 733,470,632,041
  5. Step 5: Solve for x
    x = 733,470,632,041/640,273
  6. Step 6: Final answer
    x = 1,145,559.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.