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Finding the Third Proportional to 356,964 and 776,136

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Solution

The third proportional to 356,964 and 776,136 is: 1,687,528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,964 : 776,136 = 776,136 : x
  2. Step 2: Convert to fraction form
    356,964/776,136 = 776,136/x
  3. Step 3: Cross multiply
    356,964x = 776,136 × 776,136
  4. Step 4: Simplify right side
    356,964x = 602,387,090,496
  5. Step 5: Solve for x
    x = 602,387,090,496/356,964
  6. Step 6: Final answer
    x = 1,687,528.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.