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Finding the Third Proportional to 478,266 and 732,465

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Solution

The third proportional to 478,266 and 732,465 is: 1,121,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,266 : 732,465 = 732,465 : x
  2. Step 2: Convert to fraction form
    478,266/732,465 = 732,465/x
  3. Step 3: Cross multiply
    478,266x = 732,465 × 732,465
  4. Step 4: Simplify right side
    478,266x = 536,504,976,225
  5. Step 5: Solve for x
    x = 536,504,976,225/478,266
  6. Step 6: Final answer
    x = 1,121,771.10

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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.