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Finding the Third Proportional to 418,184 and 556,428

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Solution

The third proportional to 418,184 and 556,428 is: 740,372.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,184 : 556,428 = 556,428 : x
  2. Step 2: Convert to fraction form
    418,184/556,428 = 556,428/x
  3. Step 3: Cross multiply
    418,184x = 556,428 × 556,428
  4. Step 4: Simplify right side
    418,184x = 309,612,119,184
  5. Step 5: Solve for x
    x = 309,612,119,184/418,184
  6. Step 6: Final answer
    x = 740,372.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.