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Finding the Third Proportional to 346,137 and 751,321.50

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Solution

The third proportional to 346,137 and 751,321.50 is: 1,630,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,137 : 751,321.50 = 751,321.50 : x
  2. Step 2: Convert to fraction form
    346,137/751,321.50 = 751,321.50/x
  3. Step 3: Cross multiply
    346,137x = 751,321.50 × 751,321.50
  4. Step 4: Simplify right side
    346,137x = 564,483,996,362.25
  5. Step 5: Solve for x
    x = 564,483,996,362.25/346,137
  6. Step 6: Final answer
    x = 1,630,810.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.