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Finding the Third Proportional to 210,315 and 456,120

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Solution

The third proportional to 210,315 and 456,120 is: 989,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,315 : 456,120 = 456,120 : x
  2. Step 2: Convert to fraction form
    210,315/456,120 = 456,120/x
  3. Step 3: Cross multiply
    210,315x = 456,120 × 456,120
  4. Step 4: Simplify right side
    210,315x = 208,045,454,400
  5. Step 5: Solve for x
    x = 208,045,454,400/210,315
  6. Step 6: Final answer
    x = 989,208.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.