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Finding the Third Proportional to 310,742 and 470,313

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Solution

The third proportional to 310,742 and 470,313 is: 711,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,742 : 470,313 = 470,313 : x
  2. Step 2: Convert to fraction form
    310,742/470,313 = 470,313/x
  3. Step 3: Cross multiply
    310,742x = 470,313 × 470,313
  4. Step 4: Simplify right side
    310,742x = 221,194,317,969
  5. Step 5: Solve for x
    x = 221,194,317,969/310,742
  6. Step 6: Final answer
    x = 711,826.27

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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.