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Finding the Third Proportional to 346,258 and 518,011

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Solution

The third proportional to 346,258 and 518,011 is: 774,957.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,258 : 518,011 = 518,011 : x
  2. Step 2: Convert to fraction form
    346,258/518,011 = 518,011/x
  3. Step 3: Cross multiply
    346,258x = 518,011 × 518,011
  4. Step 4: Simplify right side
    346,258x = 268,335,396,121
  5. Step 5: Solve for x
    x = 268,335,396,121/346,258
  6. Step 6: Final answer
    x = 774,957.97

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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.