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Finding the Third Proportional to 272,143 and 429,085

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Solution

The third proportional to 272,143 and 429,085 is: 676,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,143 : 429,085 = 429,085 : x
  2. Step 2: Convert to fraction form
    272,143/429,085 = 429,085/x
  3. Step 3: Cross multiply
    272,143x = 429,085 × 429,085
  4. Step 4: Simplify right side
    272,143x = 184,113,937,225
  5. Step 5: Solve for x
    x = 184,113,937,225/272,143
  6. Step 6: Final answer
    x = 676,533.80

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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.