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Finding the Third Proportional to 134,359 and 292,910

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Solution

The third proportional to 134,359 and 292,910 is: 638,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,359 : 292,910 = 292,910 : x
  2. Step 2: Convert to fraction form
    134,359/292,910 = 292,910/x
  3. Step 3: Cross multiply
    134,359x = 292,910 × 292,910
  4. Step 4: Simplify right side
    134,359x = 85,796,268,100
  5. Step 5: Solve for x
    x = 85,796,268,100/134,359
  6. Step 6: Final answer
    x = 638,559.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.