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Finding the Third Proportional to 356,142 and 554,637

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Solution

The third proportional to 356,142 and 554,637 is: 863,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,142 : 554,637 = 554,637 : x
  2. Step 2: Convert to fraction form
    356,142/554,637 = 554,637/x
  3. Step 3: Cross multiply
    356,142x = 554,637 × 554,637
  4. Step 4: Simplify right side
    356,142x = 307,622,201,769
  5. Step 5: Solve for x
    x = 307,622,201,769/356,142
  6. Step 6: Final answer
    x = 863,762.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.