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Finding the Third Proportional to 272,139.75 and 429,080.63

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Solution

The third proportional to 272,139.75 and 429,080.63 is: 676,528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,139.75 : 429,080.63 = 429,080.63 : x
  2. Step 2: Convert to fraction form
    272,139.75/429,080.63 = 429,080.63/x
  3. Step 3: Cross multiply
    272,139.75x = 429,080.63 × 429,080.63
  4. Step 4: Simplify right side
    272,139.75x = 184,110,182,750.39
  5. Step 5: Solve for x
    x = 184,110,182,750.39/272,139.75
  6. Step 6: Final answer
    x = 676,528.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.