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Finding the Third Proportional to 249,874.88 and 397,416.38

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Solution

The third proportional to 249,874.88 and 397,416.38 is: 632,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,874.88 : 397,416.38 = 397,416.38 : x
  2. Step 2: Convert to fraction form
    249,874.88/397,416.38 = 397,416.38/x
  3. Step 3: Cross multiply
    249,874.88x = 397,416.38 × 397,416.38
  4. Step 4: Simplify right side
    249,874.88x = 157,939,775,118.14
  5. Step 5: Solve for x
    x = 157,939,775,118.14/249,874.88
  6. Step 6: Final answer
    x = 632,075.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.