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Finding the Third Proportional to 93,510 and 202,572

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Solution

The third proportional to 93,510 and 202,572 is: 438,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,510 : 202,572 = 202,572 : x
  2. Step 2: Convert to fraction form
    93,510/202,572 = 202,572/x
  3. Step 3: Cross multiply
    93,510x = 202,572 × 202,572
  4. Step 4: Simplify right side
    93,510x = 41,035,415,184
  5. Step 5: Solve for x
    x = 41,035,415,184/93,510
  6. Step 6: Final answer
    x = 438,834.51

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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.