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Finding the Third Proportional to 932,946 and 1,485,225

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Solution

The third proportional to 932,946 and 1,485,225 is: 2,364,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,946 : 1,485,225 = 1,485,225 : x
  2. Step 2: Convert to fraction form
    932,946/1,485,225 = 1,485,225/x
  3. Step 3: Cross multiply
    932,946x = 1,485,225 × 1,485,225
  4. Step 4: Simplify right side
    932,946x = 2,205,893,300,625
  5. Step 5: Solve for x
    x = 2,205,893,300,625/932,946
  6. Step 6: Final answer
    x = 2,364,438.35

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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.