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Finding the Third Proportional to 302,578 and 651,838

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Solution

The third proportional to 302,578 and 651,838 is: 1,404,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,578 : 651,838 = 651,838 : x
  2. Step 2: Convert to fraction form
    302,578/651,838 = 651,838/x
  3. Step 3: Cross multiply
    302,578x = 651,838 × 651,838
  4. Step 4: Simplify right side
    302,578x = 424,892,778,244
  5. Step 5: Solve for x
    x = 424,892,778,244/302,578
  6. Step 6: Final answer
    x = 1,404,242.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.