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Finding the Third Proportional to 318,468 and 750,729

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Solution

The third proportional to 318,468 and 750,729 is: 1,769,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,468 : 750,729 = 750,729 : x
  2. Step 2: Convert to fraction form
    318,468/750,729 = 750,729/x
  3. Step 3: Cross multiply
    318,468x = 750,729 × 750,729
  4. Step 4: Simplify right side
    318,468x = 563,594,031,441
  5. Step 5: Solve for x
    x = 563,594,031,441/318,468
  6. Step 6: Final answer
    x = 1,769,703.81

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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.