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Finding the Third Proportional to 213,890.63 and 299,038.50

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Solution

The third proportional to 213,890.63 and 299,038.50 is: 418,082.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,890.63 : 299,038.50 = 299,038.50 : x
  2. Step 2: Convert to fraction form
    213,890.63/299,038.50 = 299,038.50/x
  3. Step 3: Cross multiply
    213,890.63x = 299,038.50 × 299,038.50
  4. Step 4: Simplify right side
    213,890.63x = 89,424,024,482.25
  5. Step 5: Solve for x
    x = 89,424,024,482.25/213,890.63
  6. Step 6: Final answer
    x = 418,082.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.