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Finding the Third Proportional to 93,155 and 202,063.50

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Solution

The third proportional to 93,155 and 202,063.50 is: 438,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,155 : 202,063.50 = 202,063.50 : x
  2. Step 2: Convert to fraction form
    93,155/202,063.50 = 202,063.50/x
  3. Step 3: Cross multiply
    93,155x = 202,063.50 × 202,063.50
  4. Step 4: Simplify right side
    93,155x = 40,829,658,032.25
  5. Step 5: Solve for x
    x = 40,829,658,032.25/93,155
  6. Step 6: Final answer
    x = 438,298.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.