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Finding the Third Proportional to 462,450.75 and 1,013,272.50

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Solution

The third proportional to 462,450.75 and 1,013,272.50 is: 2,220,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,450.75 : 1,013,272.50 = 1,013,272.50 : x
  2. Step 2: Convert to fraction form
    462,450.75/1,013,272.50 = 1,013,272.50/x
  3. Step 3: Cross multiply
    462,450.75x = 1,013,272.50 × 1,013,272.50
  4. Step 4: Simplify right side
    462,450.75x = 1,026,721,159,256.25
  5. Step 5: Solve for x
    x = 1,026,721,159,256.25/462,450.75
  6. Step 6: Final answer
    x = 2,220,174.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.