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Finding the Third Proportional to 485,630 and 731,685

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Solution

The third proportional to 485,630 and 731,685 is: 1,102,409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,630 : 731,685 = 731,685 : x
  2. Step 2: Convert to fraction form
    485,630/731,685 = 731,685/x
  3. Step 3: Cross multiply
    485,630x = 731,685 × 731,685
  4. Step 4: Simplify right side
    485,630x = 535,362,939,225
  5. Step 5: Solve for x
    x = 535,362,939,225/485,630
  6. Step 6: Final answer
    x = 1,102,409.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.