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Finding the Third Proportional to 378,136 and 824,960

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Solution

The third proportional to 378,136 and 824,960 is: 1,799,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,136 : 824,960 = 824,960 : x
  2. Step 2: Convert to fraction form
    378,136/824,960 = 824,960/x
  3. Step 3: Cross multiply
    378,136x = 824,960 × 824,960
  4. Step 4: Simplify right side
    378,136x = 680,559,001,600
  5. Step 5: Solve for x
    x = 680,559,001,600/378,136
  6. Step 6: Final answer
    x = 1,799,773.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.