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Finding the Third Proportional to 308,457 and 714,012

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Solution

The third proportional to 308,457 and 714,012 is: 1,652,785.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,457 : 714,012 = 714,012 : x
  2. Step 2: Convert to fraction form
    308,457/714,012 = 714,012/x
  3. Step 3: Cross multiply
    308,457x = 714,012 × 714,012
  4. Step 4: Simplify right side
    308,457x = 509,813,136,144
  5. Step 5: Solve for x
    x = 509,813,136,144/308,457
  6. Step 6: Final answer
    x = 1,652,785.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.