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Finding the Third Proportional to 478,273 and 732,476

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Solution

The third proportional to 478,273 and 732,476 is: 1,121,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,273 : 732,476 = 732,476 : x
  2. Step 2: Convert to fraction form
    478,273/732,476 = 732,476/x
  3. Step 3: Cross multiply
    478,273x = 732,476 × 732,476
  4. Step 4: Simplify right side
    478,273x = 536,521,090,576
  5. Step 5: Solve for x
    x = 536,521,090,576/478,273
  6. Step 6: Final answer
    x = 1,121,788.37

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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.