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Finding the Third Proportional to 346,136 and 751,320.50

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Solution

The third proportional to 346,136 and 751,320.50 is: 1,630,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,136 : 751,320.50 = 751,320.50 : x
  2. Step 2: Convert to fraction form
    346,136/751,320.50 = 751,320.50/x
  3. Step 3: Cross multiply
    346,136x = 751,320.50 × 751,320.50
  4. Step 4: Simplify right side
    346,136x = 564,482,493,720.25
  5. Step 5: Solve for x
    x = 564,482,493,720.25/346,136
  6. Step 6: Final answer
    x = 1,630,811.28

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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.