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Finding the Third Proportional to 295,420 and 458,304

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Solution

The third proportional to 295,420 and 458,304 is: 710,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,420 : 458,304 = 458,304 : x
  2. Step 2: Convert to fraction form
    295,420/458,304 = 458,304/x
  3. Step 3: Cross multiply
    295,420x = 458,304 × 458,304
  4. Step 4: Simplify right side
    295,420x = 210,042,556,416
  5. Step 5: Solve for x
    x = 210,042,556,416/295,420
  6. Step 6: Final answer
    x = 710,996.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.