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Finding the Third Proportional to 540,720 and 1,115,712

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Solution

The third proportional to 540,720 and 1,115,712 is: 2,302,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,720 : 1,115,712 = 1,115,712 : x
  2. Step 2: Convert to fraction form
    540,720/1,115,712 = 1,115,712/x
  3. Step 3: Cross multiply
    540,720x = 1,115,712 × 1,115,712
  4. Step 4: Simplify right side
    540,720x = 1,244,813,266,944
  5. Step 5: Solve for x
    x = 1,244,813,266,944/540,720
  6. Step 6: Final answer
    x = 2,302,140.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.