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Finding the Third Proportional to 21,140 and 46,312

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Solution

The third proportional to 21,140 and 46,312 is: 101,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,140 : 46,312 = 46,312 : x
  2. Step 2: Convert to fraction form
    21,140/46,312 = 46,312/x
  3. Step 3: Cross multiply
    21,140x = 46,312 × 46,312
  4. Step 4: Simplify right side
    21,140x = 2,144,801,344
  5. Step 5: Solve for x
    x = 2,144,801,344/21,140
  6. Step 6: Final answer
    x = 101,457.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.