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Finding the Third Proportional to 480,127.50 and 1,048,842

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Solution

The third proportional to 480,127.50 and 1,048,842 is: 2,291,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,127.50 : 1,048,842 = 1,048,842 : x
  2. Step 2: Convert to fraction form
    480,127.50/1,048,842 = 1,048,842/x
  3. Step 3: Cross multiply
    480,127.50x = 1,048,842 × 1,048,842
  4. Step 4: Simplify right side
    480,127.50x = 1,100,069,540,964
  5. Step 5: Solve for x
    x = 1,100,069,540,964/480,127.50
  6. Step 6: Final answer
    x = 2,291,202.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.