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Finding the Third Proportional to 346,284 and 521,712

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Solution

The third proportional to 346,284 and 521,712 is: 786,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,284 : 521,712 = 521,712 : x
  2. Step 2: Convert to fraction form
    346,284/521,712 = 521,712/x
  3. Step 3: Cross multiply
    346,284x = 521,712 × 521,712
  4. Step 4: Simplify right side
    346,284x = 272,183,410,944
  5. Step 5: Solve for x
    x = 272,183,410,944/346,284
  6. Step 6: Final answer
    x = 786,012.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.