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Finding the Third Proportional to 356,064 and 554,520

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Solution

The third proportional to 356,064 and 554,520 is: 863,587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,064 : 554,520 = 554,520 : x
  2. Step 2: Convert to fraction form
    356,064/554,520 = 554,520/x
  3. Step 3: Cross multiply
    356,064x = 554,520 × 554,520
  4. Step 4: Simplify right side
    356,064x = 307,492,430,400
  5. Step 5: Solve for x
    x = 307,492,430,400/356,064
  6. Step 6: Final answer
    x = 863,587.53

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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.