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Finding the Third Proportional to 9,409 and 21,045.50

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Solution

The third proportional to 9,409 and 21,045.50 is: 47,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409 : 21,045.50 = 21,045.50 : x
  2. Step 2: Convert to fraction form
    9,409/21,045.50 = 21,045.50/x
  3. Step 3: Cross multiply
    9,409x = 21,045.50 × 21,045.50
  4. Step 4: Simplify right side
    9,409x = 442,913,070.25
  5. Step 5: Solve for x
    x = 442,913,070.25/9,409
  6. Step 6: Final answer
    x = 47,073.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.