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Finding the Third Proportional to 142,207 and 307,220

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Solution

The third proportional to 142,207 and 307,220 is: 663,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,207 : 307,220 = 307,220 : x
  2. Step 2: Convert to fraction form
    142,207/307,220 = 307,220/x
  3. Step 3: Cross multiply
    142,207x = 307,220 × 307,220
  4. Step 4: Simplify right side
    142,207x = 94,384,128,400
  5. Step 5: Solve for x
    x = 94,384,128,400/142,207
  6. Step 6: Final answer
    x = 663,709.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.