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Finding the Third Proportional to 309,672 and 478,603

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Solution

The third proportional to 309,672 and 478,603 is: 739,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,672 : 478,603 = 478,603 : x
  2. Step 2: Convert to fraction form
    309,672/478,603 = 478,603/x
  3. Step 3: Cross multiply
    309,672x = 478,603 × 478,603
  4. Step 4: Simplify right side
    309,672x = 229,060,831,609
  5. Step 5: Solve for x
    x = 229,060,831,609/309,672
  6. Step 6: Final answer
    x = 739,688.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.