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Finding the Third Proportional to 111,346 and 243,140

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Solution

The third proportional to 111,346 and 243,140 is: 530,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,346 : 243,140 = 243,140 : x
  2. Step 2: Convert to fraction form
    111,346/243,140 = 243,140/x
  3. Step 3: Cross multiply
    111,346x = 243,140 × 243,140
  4. Step 4: Simplify right side
    111,346x = 59,117,059,600
  5. Step 5: Solve for x
    x = 59,117,059,600/111,346
  6. Step 6: Final answer
    x = 530,931.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.