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Finding the Third Proportional to 113,820.19 and 249,321.80

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Solution

The third proportional to 113,820.19 and 249,321.80 is: 546,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,820.19 : 249,321.80 = 249,321.80 : x
  2. Step 2: Convert to fraction form
    113,820.19/249,321.80 = 249,321.80/x
  3. Step 3: Cross multiply
    113,820.19x = 249,321.80 × 249,321.80
  4. Step 4: Simplify right side
    113,820.19x = 62,161,358,396.98
  5. Step 5: Solve for x
    x = 62,161,358,396.98/113,820.19
  6. Step 6: Final answer
    x = 546,136.50

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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.