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Finding the Third Proportional to 219,312 and 297,180

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Solution

The third proportional to 219,312 and 297,180 is: 402,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,312 : 297,180 = 297,180 : x
  2. Step 2: Convert to fraction form
    219,312/297,180 = 297,180/x
  3. Step 3: Cross multiply
    219,312x = 297,180 × 297,180
  4. Step 4: Simplify right side
    219,312x = 88,315,952,400
  5. Step 5: Solve for x
    x = 88,315,952,400/219,312
  6. Step 6: Final answer
    x = 402,695.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.