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Finding the Third Proportional to 430,922 and 643,737

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Solution

The third proportional to 430,922 and 643,737 is: 961,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,922 : 643,737 = 643,737 : x
  2. Step 2: Convert to fraction form
    430,922/643,737 = 643,737/x
  3. Step 3: Cross multiply
    430,922x = 643,737 × 643,737
  4. Step 4: Simplify right side
    430,922x = 414,397,325,169
  5. Step 5: Solve for x
    x = 414,397,325,169/430,922
  6. Step 6: Final answer
    x = 961,652.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.