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Finding the Third Proportional to 157,336 and 249,257

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Solution

The third proportional to 157,336 and 249,257 is: 394,881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,336 : 249,257 = 249,257 : x
  2. Step 2: Convert to fraction form
    157,336/249,257 = 249,257/x
  3. Step 3: Cross multiply
    157,336x = 249,257 × 249,257
  4. Step 4: Simplify right side
    157,336x = 62,129,052,049
  5. Step 5: Solve for x
    x = 62,129,052,049/157,336
  6. Step 6: Final answer
    x = 394,881.35

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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.