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Finding the Third Proportional to 309,312 and 470,448

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Solution

The third proportional to 309,312 and 470,448 is: 715,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,312 : 470,448 = 470,448 : x
  2. Step 2: Convert to fraction form
    309,312/470,448 = 470,448/x
  3. Step 3: Cross multiply
    309,312x = 470,448 × 470,448
  4. Step 4: Simplify right side
    309,312x = 221,321,320,704
  5. Step 5: Solve for x
    x = 221,321,320,704/309,312
  6. Step 6: Final answer
    x = 715,527.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.