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Finding the Third Proportional to 245,628 and 379,292

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Solution

The third proportional to 245,628 and 379,292 is: 585,692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,628 : 379,292 = 379,292 : x
  2. Step 2: Convert to fraction form
    245,628/379,292 = 379,292/x
  3. Step 3: Cross multiply
    245,628x = 379,292 × 379,292
  4. Step 4: Simplify right side
    245,628x = 143,862,421,264
  5. Step 5: Solve for x
    x = 143,862,421,264/245,628
  6. Step 6: Final answer
    x = 585,692.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.