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Finding the Third Proportional to 157,120 and 339,352

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Solution

The third proportional to 157,120 and 339,352 is: 732,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,120 : 339,352 = 339,352 : x
  2. Step 2: Convert to fraction form
    157,120/339,352 = 339,352/x
  3. Step 3: Cross multiply
    157,120x = 339,352 × 339,352
  4. Step 4: Simplify right side
    157,120x = 115,159,779,904
  5. Step 5: Solve for x
    x = 115,159,779,904/157,120
  6. Step 6: Final answer
    x = 732,941.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.