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Finding the Third Proportional to 216,587 and 348,942

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Solution

The third proportional to 216,587 and 348,942 is: 562,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,587 : 348,942 = 348,942 : x
  2. Step 2: Convert to fraction form
    216,587/348,942 = 348,942/x
  3. Step 3: Cross multiply
    216,587x = 348,942 × 348,942
  4. Step 4: Simplify right side
    216,587x = 121,760,519,364
  5. Step 5: Solve for x
    x = 121,760,519,364/216,587
  6. Step 6: Final answer
    x = 562,178.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.