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Finding the Third Proportional to 223,428 and 526,983

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Solution

The third proportional to 223,428 and 526,983 is: 1,242,955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,428 : 526,983 = 526,983 : x
  2. Step 2: Convert to fraction form
    223,428/526,983 = 526,983/x
  3. Step 3: Cross multiply
    223,428x = 526,983 × 526,983
  4. Step 4: Simplify right side
    223,428x = 277,711,082,289
  5. Step 5: Solve for x
    x = 277,711,082,289/223,428
  6. Step 6: Final answer
    x = 1,242,955.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.