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Finding the Third Proportional to 309,946 and 478,737

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Solution

The third proportional to 309,946 and 478,737 is: 739,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,946 : 478,737 = 478,737 : x
  2. Step 2: Convert to fraction form
    309,946/478,737 = 478,737/x
  3. Step 3: Cross multiply
    309,946x = 478,737 × 478,737
  4. Step 4: Simplify right side
    309,946x = 229,189,115,169
  5. Step 5: Solve for x
    x = 229,189,115,169/309,946
  6. Step 6: Final answer
    x = 739,448.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.