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Finding the Third Proportional to 210,153.75 and 456,030

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Solution

The third proportional to 210,153.75 and 456,030 is: 989,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,153.75 : 456,030 = 456,030 : x
  2. Step 2: Convert to fraction form
    210,153.75/456,030 = 456,030/x
  3. Step 3: Cross multiply
    210,153.75x = 456,030 × 456,030
  4. Step 4: Simplify right side
    210,153.75x = 207,963,360,900
  5. Step 5: Solve for x
    x = 207,963,360,900/210,153.75
  6. Step 6: Final answer
    x = 989,577.21

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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.