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Finding the Third Proportional to 310,734 and 470,301.75

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Solution

The third proportional to 310,734 and 470,301.75 is: 711,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,734 : 470,301.75 = 470,301.75 : x
  2. Step 2: Convert to fraction form
    310,734/470,301.75 = 470,301.75/x
  3. Step 3: Cross multiply
    310,734x = 470,301.75 × 470,301.75
  4. Step 4: Simplify right side
    310,734x = 221,183,736,053.06
  5. Step 5: Solve for x
    x = 221,183,736,053.06/310,734
  6. Step 6: Final answer
    x = 711,810.54

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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.