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Finding the Third Proportional to 341,280 and 470,448

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Solution

The third proportional to 341,280 and 470,448 is: 648,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,280 : 470,448 = 470,448 : x
  2. Step 2: Convert to fraction form
    341,280/470,448 = 470,448/x
  3. Step 3: Cross multiply
    341,280x = 470,448 × 470,448
  4. Step 4: Simplify right side
    341,280x = 221,321,320,704
  5. Step 5: Solve for x
    x = 221,321,320,704/341,280
  6. Step 6: Final answer
    x = 648,503.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.