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Finding the Third Proportional to 254,412 and 502,428

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Solution

The third proportional to 254,412 and 502,428 is: 992,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,412 : 502,428 = 502,428 : x
  2. Step 2: Convert to fraction form
    254,412/502,428 = 502,428/x
  3. Step 3: Cross multiply
    254,412x = 502,428 × 502,428
  4. Step 4: Simplify right side
    254,412x = 252,433,895,184
  5. Step 5: Solve for x
    x = 252,433,895,184/254,412
  6. Step 6: Final answer
    x = 992,224.80

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.