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Finding the Third Proportional to 312,930.84 and 470,854.27

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Solution

The third proportional to 312,930.84 and 470,854.27 is: 708,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,930.84 : 470,854.27 = 470,854.27 : x
  2. Step 2: Convert to fraction form
    312,930.84/470,854.27 = 470,854.27/x
  3. Step 3: Cross multiply
    312,930.84x = 470,854.27 × 470,854.27
  4. Step 4: Simplify right side
    312,930.84x = 221,703,739,457.26
  5. Step 5: Solve for x
    x = 221,703,739,457.26/312,930.84
  6. Step 6: Final answer
    x = 708,475.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.