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Finding the Third Proportional to 145,100 and 307,818

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Solution

The third proportional to 145,100 and 307,818 is: 653,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,100 : 307,818 = 307,818 : x
  2. Step 2: Convert to fraction form
    145,100/307,818 = 307,818/x
  3. Step 3: Cross multiply
    145,100x = 307,818 × 307,818
  4. Step 4: Simplify right side
    145,100x = 94,751,921,124
  5. Step 5: Solve for x
    x = 94,751,921,124/145,100
  6. Step 6: Final answer
    x = 653,011.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.