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Finding the Third Proportional to 380,475 and 589,948.50

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Solution

The third proportional to 380,475 and 589,948.50 is: 914,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,475 : 589,948.50 = 589,948.50 : x
  2. Step 2: Convert to fraction form
    380,475/589,948.50 = 589,948.50/x
  3. Step 3: Cross multiply
    380,475x = 589,948.50 × 589,948.50
  4. Step 4: Simplify right side
    380,475x = 348,039,232,652.25
  5. Step 5: Solve for x
    x = 348,039,232,652.25/380,475
  6. Step 6: Final answer
    x = 914,749.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.