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Finding the Third Proportional to 393,688 and 610,765

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Solution

The third proportional to 393,688 and 610,765 is: 947,536.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,688 : 610,765 = 610,765 : x
  2. Step 2: Convert to fraction form
    393,688/610,765 = 610,765/x
  3. Step 3: Cross multiply
    393,688x = 610,765 × 610,765
  4. Step 4: Simplify right side
    393,688x = 373,033,885,225
  5. Step 5: Solve for x
    x = 373,033,885,225/393,688
  6. Step 6: Final answer
    x = 947,536.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.