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Finding the Third Proportional to 157,856 and 346,816

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Solution

The third proportional to 157,856 and 346,816 is: 761,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,856 : 346,816 = 346,816 : x
  2. Step 2: Convert to fraction form
    157,856/346,816 = 346,816/x
  3. Step 3: Cross multiply
    157,856x = 346,816 × 346,816
  4. Step 4: Simplify right side
    157,856x = 120,281,337,856
  5. Step 5: Solve for x
    x = 120,281,337,856/157,856
  6. Step 6: Final answer
    x = 761,968.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.