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Finding the Third Proportional to 149,501 and 249,159

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Solution

The third proportional to 149,501 and 249,159 is: 415,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,501 : 249,159 = 249,159 : x
  2. Step 2: Convert to fraction form
    149,501/249,159 = 249,159/x
  3. Step 3: Cross multiply
    149,501x = 249,159 × 249,159
  4. Step 4: Simplify right side
    149,501x = 62,080,207,281
  5. Step 5: Solve for x
    x = 62,080,207,281/149,501
  6. Step 6: Final answer
    x = 415,249.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.