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Finding the Third Proportional to 356,599 and 553,942

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Solution

The third proportional to 356,599 and 553,942 is: 860,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,599 : 553,942 = 553,942 : x
  2. Step 2: Convert to fraction form
    356,599/553,942 = 553,942/x
  3. Step 3: Cross multiply
    356,599x = 553,942 × 553,942
  4. Step 4: Simplify right side
    356,599x = 306,851,739,364
  5. Step 5: Solve for x
    x = 306,851,739,364/356,599
  6. Step 6: Final answer
    x = 860,495.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.