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Finding the Third Proportional to 21,870 and 45,294.19

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Solution

The third proportional to 21,870 and 45,294.19 is: 93,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,870 : 45,294.19 = 45,294.19 : x
  2. Step 2: Convert to fraction form
    21,870/45,294.19 = 45,294.19/x
  3. Step 3: Cross multiply
    21,870x = 45,294.19 × 45,294.19
  4. Step 4: Simplify right side
    21,870x = 2,051,563,421.29
  5. Step 5: Solve for x
    x = 2,051,563,421.29/21,870
  6. Step 6: Final answer
    x = 93,807.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.