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Finding the Third Proportional to 401,127 and 880,975.50

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Solution

The third proportional to 401,127 and 880,975.50 is: 1,934,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,127 : 880,975.50 = 880,975.50 : x
  2. Step 2: Convert to fraction form
    401,127/880,975.50 = 880,975.50/x
  3. Step 3: Cross multiply
    401,127x = 880,975.50 × 880,975.50
  4. Step 4: Simplify right side
    401,127x = 776,117,831,600.25
  5. Step 5: Solve for x
    x = 776,117,831,600.25/401,127
  6. Step 6: Final answer
    x = 1,934,843.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.