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Finding the Third Proportional to 346,516 and 518,360

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Solution

The third proportional to 346,516 and 518,360 is: 775,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,516 : 518,360 = 518,360 : x
  2. Step 2: Convert to fraction form
    346,516/518,360 = 518,360/x
  3. Step 3: Cross multiply
    346,516x = 518,360 × 518,360
  4. Step 4: Simplify right side
    346,516x = 268,697,089,600
  5. Step 5: Solve for x
    x = 268,697,089,600/346,516
  6. Step 6: Final answer
    x = 775,424.77

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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.