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Finding the Third Proportional to 157,318 and 249,223

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Solution

The third proportional to 157,318 and 249,223 is: 394,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,318 : 249,223 = 249,223 : x
  2. Step 2: Convert to fraction form
    157,318/249,223 = 249,223/x
  3. Step 3: Cross multiply
    157,318x = 249,223 × 249,223
  4. Step 4: Simplify right side
    157,318x = 62,112,103,729
  5. Step 5: Solve for x
    x = 62,112,103,729/157,318
  6. Step 6: Final answer
    x = 394,818.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.