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Finding the Third Proportional to 148,321 and 307,157

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Solution

The third proportional to 148,321 and 307,157 is: 636,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,321 : 307,157 = 307,157 : x
  2. Step 2: Convert to fraction form
    148,321/307,157 = 307,157/x
  3. Step 3: Cross multiply
    148,321x = 307,157 × 307,157
  4. Step 4: Simplify right side
    148,321x = 94,345,422,649
  5. Step 5: Solve for x
    x = 94,345,422,649/148,321
  6. Step 6: Final answer
    x = 636,089.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.