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Finding the Third Proportional to 317,010 and 470,277

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Solution

The third proportional to 317,010 and 470,277 is: 697,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,010 : 470,277 = 470,277 : x
  2. Step 2: Convert to fraction form
    317,010/470,277 = 470,277/x
  3. Step 3: Cross multiply
    317,010x = 470,277 × 470,277
  4. Step 4: Simplify right side
    317,010x = 221,160,456,729
  5. Step 5: Solve for x
    x = 221,160,456,729/317,010
  6. Step 6: Final answer
    x = 697,645.05

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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.