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Finding the Third Proportional to 306,768 and 653,280

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Solution

The third proportional to 306,768 and 653,280 is: 1,391,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,768 : 653,280 = 653,280 : x
  2. Step 2: Convert to fraction form
    306,768/653,280 = 653,280/x
  3. Step 3: Cross multiply
    306,768x = 653,280 × 653,280
  4. Step 4: Simplify right side
    306,768x = 426,774,758,400
  5. Step 5: Solve for x
    x = 426,774,758,400/306,768
  6. Step 6: Final answer
    x = 1,391,197.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.