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Finding the Third Proportional to 488,621 and 747,465

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Solution

The third proportional to 488,621 and 747,465 is: 1,143,430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,621 : 747,465 = 747,465 : x
  2. Step 2: Convert to fraction form
    488,621/747,465 = 747,465/x
  3. Step 3: Cross multiply
    488,621x = 747,465 × 747,465
  4. Step 4: Simplify right side
    488,621x = 558,703,926,225
  5. Step 5: Solve for x
    x = 558,703,926,225/488,621
  6. Step 6: Final answer
    x = 1,143,430.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.