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Finding the Third Proportional to 400,712 and 846,136

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Solution

The third proportional to 400,712 and 846,136 is: 1,786,685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,712 : 846,136 = 846,136 : x
  2. Step 2: Convert to fraction form
    400,712/846,136 = 846,136/x
  3. Step 3: Cross multiply
    400,712x = 846,136 × 846,136
  4. Step 4: Simplify right side
    400,712x = 715,946,130,496
  5. Step 5: Solve for x
    x = 715,946,130,496/400,712
  6. Step 6: Final answer
    x = 1,786,685.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.