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Finding the Third Proportional to 302,454 and 456,021

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Solution

The third proportional to 302,454 and 456,021 is: 687,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,454 : 456,021 = 456,021 : x
  2. Step 2: Convert to fraction form
    302,454/456,021 = 456,021/x
  3. Step 3: Cross multiply
    302,454x = 456,021 × 456,021
  4. Step 4: Simplify right side
    302,454x = 207,955,152,441
  5. Step 5: Solve for x
    x = 207,955,152,441/302,454
  6. Step 6: Final answer
    x = 687,559.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.