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Finding the Third Proportional to 292,720 and 608,408

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Solution

The third proportional to 292,720 and 608,408 is: 1,264,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,720 : 608,408 = 608,408 : x
  2. Step 2: Convert to fraction form
    292,720/608,408 = 608,408/x
  3. Step 3: Cross multiply
    292,720x = 608,408 × 608,408
  4. Step 4: Simplify right side
    292,720x = 370,160,294,464
  5. Step 5: Solve for x
    x = 370,160,294,464/292,720
  6. Step 6: Final answer
    x = 1,264,554.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.