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Finding the Third Proportional to 316,982 and 470,235

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Solution

The third proportional to 316,982 and 470,235 is: 697,582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,982 : 470,235 = 470,235 : x
  2. Step 2: Convert to fraction form
    316,982/470,235 = 470,235/x
  3. Step 3: Cross multiply
    316,982x = 470,235 × 470,235
  4. Step 4: Simplify right side
    316,982x = 221,120,955,225
  5. Step 5: Solve for x
    x = 221,120,955,225/316,982
  6. Step 6: Final answer
    x = 697,582.06

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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.