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Finding the Third Proportional to 302,594 and 439,700

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Solution

The third proportional to 302,594 and 439,700 is: 638,929.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,594 : 439,700 = 439,700 : x
  2. Step 2: Convert to fraction form
    302,594/439,700 = 439,700/x
  3. Step 3: Cross multiply
    302,594x = 439,700 × 439,700
  4. Step 4: Simplify right side
    302,594x = 193,336,090,000
  5. Step 5: Solve for x
    x = 193,336,090,000/302,594
  6. Step 6: Final answer
    x = 638,929.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.