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Finding the Third Proportional to 360,621 and 540,985.50

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Solution

The third proportional to 360,621 and 540,985.50 is: 811,559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,621 : 540,985.50 = 540,985.50 : x
  2. Step 2: Convert to fraction form
    360,621/540,985.50 = 540,985.50/x
  3. Step 3: Cross multiply
    360,621x = 540,985.50 × 540,985.50
  4. Step 4: Simplify right side
    360,621x = 292,665,311,210.25
  5. Step 5: Solve for x
    x = 292,665,311,210.25/360,621
  6. Step 6: Final answer
    x = 811,559.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.