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Finding the Third Proportional to 490,428 and 749,898

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Solution

The third proportional to 490,428 and 749,898 is: 1,146,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,428 : 749,898 = 749,898 : x
  2. Step 2: Convert to fraction form
    490,428/749,898 = 749,898/x
  3. Step 3: Cross multiply
    490,428x = 749,898 × 749,898
  4. Step 4: Simplify right side
    490,428x = 562,347,010,404
  5. Step 5: Solve for x
    x = 562,347,010,404/490,428
  6. Step 6: Final answer
    x = 1,146,645.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.