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Finding the Third Proportional to 310,740 and 470,310

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Solution

The third proportional to 310,740 and 470,310 is: 711,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,740 : 470,310 = 470,310 : x
  2. Step 2: Convert to fraction form
    310,740/470,310 = 470,310/x
  3. Step 3: Cross multiply
    310,740x = 470,310 × 470,310
  4. Step 4: Simplify right side
    310,740x = 221,191,496,100
  5. Step 5: Solve for x
    x = 221,191,496,100/310,740
  6. Step 6: Final answer
    x = 711,821.77

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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.