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Finding the Third Proportional to 470,098 and 685,454

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Solution

The third proportional to 470,098 and 685,454 is: 999,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,098 : 685,454 = 685,454 : x
  2. Step 2: Convert to fraction form
    470,098/685,454 = 685,454/x
  3. Step 3: Cross multiply
    470,098x = 685,454 × 685,454
  4. Step 4: Simplify right side
    470,098x = 469,847,186,116
  5. Step 5: Solve for x
    x = 469,847,186,116/470,098
  6. Step 6: Final answer
    x = 999,466.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.