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Finding the Third Proportional to 450,315 and 684,751.50

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Solution

The third proportional to 450,315 and 684,751.50 is: 1,041,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,315 : 684,751.50 = 684,751.50 : x
  2. Step 2: Convert to fraction form
    450,315/684,751.50 = 684,751.50/x
  3. Step 3: Cross multiply
    450,315x = 684,751.50 × 684,751.50
  4. Step 4: Simplify right side
    450,315x = 468,884,616,752.25
  5. Step 5: Solve for x
    x = 468,884,616,752.25/450,315
  6. Step 6: Final answer
    x = 1,041,236.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.