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Finding the Third Proportional to 249,090.31 and 349,522.78

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Solution

The third proportional to 249,090.31 and 349,522.78 is: 490,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,090.31 : 349,522.78 = 349,522.78 : x
  2. Step 2: Convert to fraction form
    249,090.31/349,522.78 = 349,522.78/x
  3. Step 3: Cross multiply
    249,090.31x = 349,522.78 × 349,522.78
  4. Step 4: Simplify right side
    249,090.31x = 122,166,174,612.74
  5. Step 5: Solve for x
    x = 122,166,174,612.74/249,090.31
  6. Step 6: Final answer
    x = 490,449.32

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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.