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Finding the Third Proportional to 270,929 and 429,355

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Solution

The third proportional to 270,929 and 429,355 is: 680,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,929 : 429,355 = 429,355 : x
  2. Step 2: Convert to fraction form
    270,929/429,355 = 429,355/x
  3. Step 3: Cross multiply
    270,929x = 429,355 × 429,355
  4. Step 4: Simplify right side
    270,929x = 184,345,716,025
  5. Step 5: Solve for x
    x = 184,345,716,025/270,929
  6. Step 6: Final answer
    x = 680,420.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.