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Finding the Third Proportional to 310,136 and 657,912

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Solution

The third proportional to 310,136 and 657,912 is: 1,395,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,136 : 657,912 = 657,912 : x
  2. Step 2: Convert to fraction form
    310,136/657,912 = 657,912/x
  3. Step 3: Cross multiply
    310,136x = 657,912 × 657,912
  4. Step 4: Simplify right side
    310,136x = 432,848,199,744
  5. Step 5: Solve for x
    x = 432,848,199,744/310,136
  6. Step 6: Final answer
    x = 1,395,672.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.