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Finding the Third Proportional to 346,776 and 518,760

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Solution

The third proportional to 346,776 and 518,760 is: 776,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,776 : 518,760 = 518,760 : x
  2. Step 2: Convert to fraction form
    346,776/518,760 = 518,760/x
  3. Step 3: Cross multiply
    346,776x = 518,760 × 518,760
  4. Step 4: Simplify right side
    346,776x = 269,111,937,600
  5. Step 5: Solve for x
    x = 269,111,937,600/346,776
  6. Step 6: Final answer
    x = 776,039.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.