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Finding the Third Proportional to 291,072 and 626,409

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Solution

The third proportional to 291,072 and 626,409 is: 1,348,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,072 : 626,409 = 626,409 : x
  2. Step 2: Convert to fraction form
    291,072/626,409 = 626,409/x
  3. Step 3: Cross multiply
    291,072x = 626,409 × 626,409
  4. Step 4: Simplify right side
    291,072x = 392,388,235,281
  5. Step 5: Solve for x
    x = 392,388,235,281/291,072
  6. Step 6: Final answer
    x = 1,348,079.63

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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.