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Finding the Third Proportional to 415,925 and 661,148

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Solution

The third proportional to 415,925 and 661,148 is: 1,050,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,925 : 661,148 = 661,148 : x
  2. Step 2: Convert to fraction form
    415,925/661,148 = 661,148/x
  3. Step 3: Cross multiply
    415,925x = 661,148 × 661,148
  4. Step 4: Simplify right side
    415,925x = 437,116,677,904
  5. Step 5: Solve for x
    x = 437,116,677,904/415,925
  6. Step 6: Final answer
    x = 1,050,950.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.