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Finding the Third Proportional to 66,521 and 105,315

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Solution

The third proportional to 66,521 and 105,315 is: 166,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,521 : 105,315 = 105,315 : x
  2. Step 2: Convert to fraction form
    66,521/105,315 = 105,315/x
  3. Step 3: Cross multiply
    66,521x = 105,315 × 105,315
  4. Step 4: Simplify right side
    66,521x = 11,091,249,225
  5. Step 5: Solve for x
    x = 11,091,249,225/66,521
  6. Step 6: Final answer
    x = 166,733.05

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Why These Related Problems?

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