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Finding the Third Proportional to 390,073 and 620,637

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Solution

The third proportional to 390,073 and 620,637 is: 987,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,073 : 620,637 = 620,637 : x
  2. Step 2: Convert to fraction form
    390,073/620,637 = 620,637/x
  3. Step 3: Cross multiply
    390,073x = 620,637 × 620,637
  4. Step 4: Simplify right side
    390,073x = 385,190,285,769
  5. Step 5: Solve for x
    x = 385,190,285,769/390,073
  6. Step 6: Final answer
    x = 987,482.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.