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Finding the Third Proportional to 245,481 and 529,638

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Solution

The third proportional to 245,481 and 529,638 is: 1,142,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,481 : 529,638 = 529,638 : x
  2. Step 2: Convert to fraction form
    245,481/529,638 = 529,638/x
  3. Step 3: Cross multiply
    245,481x = 529,638 × 529,638
  4. Step 4: Simplify right side
    245,481x = 280,516,411,044
  5. Step 5: Solve for x
    x = 280,516,411,044/245,481
  6. Step 6: Final answer
    x = 1,142,721.48

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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.