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Finding the Third Proportional to 245,359 and 529,387

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Solution

The third proportional to 245,359 and 529,387 is: 1,142,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,359 : 529,387 = 529,387 : x
  2. Step 2: Convert to fraction form
    245,359/529,387 = 529,387/x
  3. Step 3: Cross multiply
    245,359x = 529,387 × 529,387
  4. Step 4: Simplify right side
    245,359x = 280,250,595,769
  5. Step 5: Solve for x
    x = 280,250,595,769/245,359
  6. Step 6: Final answer
    x = 1,142,206.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.