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Finding the Third Proportional to 302,912 and 470,378

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Solution

The third proportional to 302,912 and 470,378 is: 730,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,912 : 470,378 = 470,378 : x
  2. Step 2: Convert to fraction form
    302,912/470,378 = 470,378/x
  3. Step 3: Cross multiply
    302,912x = 470,378 × 470,378
  4. Step 4: Simplify right side
    302,912x = 221,255,462,884
  5. Step 5: Solve for x
    x = 221,255,462,884/302,912
  6. Step 6: Final answer
    x = 730,428.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.