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Finding the Third Proportional to 320,670 and 692,730

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Solution

The third proportional to 320,670 and 692,730 is: 1,496,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,670 : 692,730 = 692,730 : x
  2. Step 2: Convert to fraction form
    320,670/692,730 = 692,730/x
  3. Step 3: Cross multiply
    320,670x = 692,730 × 692,730
  4. Step 4: Simplify right side
    320,670x = 479,874,852,900
  5. Step 5: Solve for x
    x = 479,874,852,900/320,670
  6. Step 6: Final answer
    x = 1,496,475.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.