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Finding the Third Proportional to 93,008 and 201,776

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Solution

The third proportional to 93,008 and 201,776 is: 437,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,008 : 201,776 = 201,776 : x
  2. Step 2: Convert to fraction form
    93,008/201,776 = 201,776/x
  3. Step 3: Cross multiply
    93,008x = 201,776 × 201,776
  4. Step 4: Simplify right side
    93,008x = 40,713,554,176
  5. Step 5: Solve for x
    x = 40,713,554,176/93,008
  6. Step 6: Final answer
    x = 437,742.50

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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.