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Finding the Third Proportional to 316,986 and 470,239.50

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Solution

The third proportional to 316,986 and 470,239.50 is: 697,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,986 : 470,239.50 = 470,239.50 : x
  2. Step 2: Convert to fraction form
    316,986/470,239.50 = 470,239.50/x
  3. Step 3: Cross multiply
    316,986x = 470,239.50 × 470,239.50
  4. Step 4: Simplify right side
    316,986x = 221,125,187,360.25
  5. Step 5: Solve for x
    x = 221,125,187,360.25/316,986
  6. Step 6: Final answer
    x = 697,586.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.