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Finding the Third Proportional to 219,476 and 348,258

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Solution

The third proportional to 219,476 and 348,258 is: 552,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,476 : 348,258 = 348,258 : x
  2. Step 2: Convert to fraction form
    219,476/348,258 = 348,258/x
  3. Step 3: Cross multiply
    219,476x = 348,258 × 348,258
  4. Step 4: Simplify right side
    219,476x = 121,283,634,564
  5. Step 5: Solve for x
    x = 121,283,634,564/219,476
  6. Step 6: Final answer
    x = 552,605.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.