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Finding the Third Proportional to 160,846 and 343,776

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Solution

The third proportional to 160,846 and 343,776 is: 734,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,846 : 343,776 = 343,776 : x
  2. Step 2: Convert to fraction form
    160,846/343,776 = 343,776/x
  3. Step 3: Cross multiply
    160,846x = 343,776 × 343,776
  4. Step 4: Simplify right side
    160,846x = 118,181,938,176
  5. Step 5: Solve for x
    x = 118,181,938,176/160,846
  6. Step 6: Final answer
    x = 734,752.11

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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.