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Finding the Third Proportional to 140,431.50 and 307,136.25

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Solution

The third proportional to 140,431.50 and 307,136.25 is: 671,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,431.50 : 307,136.25 = 307,136.25 : x
  2. Step 2: Convert to fraction form
    140,431.50/307,136.25 = 307,136.25/x
  3. Step 3: Cross multiply
    140,431.50x = 307,136.25 × 307,136.25
  4. Step 4: Simplify right side
    140,431.50x = 94,332,676,064.06
  5. Step 5: Solve for x
    x = 94,332,676,064.06/140,431.50
  6. Step 6: Final answer
    x = 671,734.45

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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.