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Finding the Third Proportional to 145,829 and 208,533.50

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Solution

The third proportional to 145,829 and 208,533.50 is: 298,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,829 : 208,533.50 = 208,533.50 : x
  2. Step 2: Convert to fraction form
    145,829/208,533.50 = 208,533.50/x
  3. Step 3: Cross multiply
    145,829x = 208,533.50 × 208,533.50
  4. Step 4: Simplify right side
    145,829x = 43,486,220,622.25
  5. Step 5: Solve for x
    x = 43,486,220,622.25/145,829
  6. Step 6: Final answer
    x = 298,200.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.