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Finding the Third Proportional to 318,465 and 750,721.50

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Solution

The third proportional to 318,465 and 750,721.50 is: 1,769,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,465 : 750,721.50 = 750,721.50 : x
  2. Step 2: Convert to fraction form
    318,465/750,721.50 = 750,721.50/x
  3. Step 3: Cross multiply
    318,465x = 750,721.50 × 750,721.50
  4. Step 4: Simplify right side
    318,465x = 563,582,770,562.25
  5. Step 5: Solve for x
    x = 563,582,770,562.25/318,465
  6. Step 6: Final answer
    x = 1,769,685.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.