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Finding the Third Proportional to 160,276 and 342,787

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Solution

The third proportional to 160,276 and 342,787 is: 733,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,276 : 342,787 = 342,787 : x
  2. Step 2: Convert to fraction form
    160,276/342,787 = 342,787/x
  3. Step 3: Cross multiply
    160,276x = 342,787 × 342,787
  4. Step 4: Simplify right side
    160,276x = 117,502,927,369
  5. Step 5: Solve for x
    x = 117,502,927,369/160,276
  6. Step 6: Final answer
    x = 733,128.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.