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Finding the Third Proportional to 487,512 and 778,491

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Solution

The third proportional to 487,512 and 778,491 is: 1,243,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,512 : 778,491 = 778,491 : x
  2. Step 2: Convert to fraction form
    487,512/778,491 = 778,491/x
  3. Step 3: Cross multiply
    487,512x = 778,491 × 778,491
  4. Step 4: Simplify right side
    487,512x = 606,048,237,081
  5. Step 5: Solve for x
    x = 606,048,237,081/487,512
  6. Step 6: Final answer
    x = 1,243,145.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.