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Finding the Third Proportional to 316,392 and 488,556

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Solution

The third proportional to 316,392 and 488,556 is: 754,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,392 : 488,556 = 488,556 : x
  2. Step 2: Convert to fraction form
    316,392/488,556 = 488,556/x
  3. Step 3: Cross multiply
    316,392x = 488,556 × 488,556
  4. Step 4: Simplify right side
    316,392x = 238,686,965,136
  5. Step 5: Solve for x
    x = 238,686,965,136/316,392
  6. Step 6: Final answer
    x = 754,402.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.