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Finding the Third Proportional to 102,536 and 221,428

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Solution

The third proportional to 102,536 and 221,428 is: 478,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,536 : 221,428 = 221,428 : x
  2. Step 2: Convert to fraction form
    102,536/221,428 = 221,428/x
  3. Step 3: Cross multiply
    102,536x = 221,428 × 221,428
  4. Step 4: Simplify right side
    102,536x = 49,030,359,184
  5. Step 5: Solve for x
    x = 49,030,359,184/102,536
  6. Step 6: Final answer
    x = 478,177.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.