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Finding the Third Proportional to 285,428 and 444,484

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Solution

The third proportional to 285,428 and 444,484 is: 692,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,428 : 444,484 = 444,484 : x
  2. Step 2: Convert to fraction form
    285,428/444,484 = 444,484/x
  3. Step 3: Cross multiply
    285,428x = 444,484 × 444,484
  4. Step 4: Simplify right side
    285,428x = 197,566,026,256
  5. Step 5: Solve for x
    x = 197,566,026,256/285,428
  6. Step 6: Final answer
    x = 692,174.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.