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Finding the Third Proportional to 286,212 and 453,100.50

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Solution

The third proportional to 286,212 and 453,100.50 is: 717,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,212 : 453,100.50 = 453,100.50 : x
  2. Step 2: Convert to fraction form
    286,212/453,100.50 = 453,100.50/x
  3. Step 3: Cross multiply
    286,212x = 453,100.50 × 453,100.50
  4. Step 4: Simplify right side
    286,212x = 205,300,063,100.25
  5. Step 5: Solve for x
    x = 205,300,063,100.25/286,212
  6. Step 6: Final answer
    x = 717,300.68

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.