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Finding the Third Proportional to 306,140 and 671,356

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Solution

The third proportional to 306,140 and 671,356 is: 1,472,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,140 : 671,356 = 671,356 : x
  2. Step 2: Convert to fraction form
    306,140/671,356 = 671,356/x
  3. Step 3: Cross multiply
    306,140x = 671,356 × 671,356
  4. Step 4: Simplify right side
    306,140x = 450,718,878,736
  5. Step 5: Solve for x
    x = 450,718,878,736/306,140
  6. Step 6: Final answer
    x = 1,472,263.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.