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Finding the Third Proportional to 19,290 and 29,140.50

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Solution

The third proportional to 19,290 and 29,140.50 is: 44,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,290 : 29,140.50 = 29,140.50 : x
  2. Step 2: Convert to fraction form
    19,290/29,140.50 = 29,140.50/x
  3. Step 3: Cross multiply
    19,290x = 29,140.50 × 29,140.50
  4. Step 4: Simplify right side
    19,290x = 849,168,740.25
  5. Step 5: Solve for x
    x = 849,168,740.25/19,290
  6. Step 6: Final answer
    x = 44,021.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.