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Finding the Third Proportional to 145,114 and 212,703

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Solution

The third proportional to 145,114 and 212,703 is: 311,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,114 : 212,703 = 212,703 : x
  2. Step 2: Convert to fraction form
    145,114/212,703 = 212,703/x
  3. Step 3: Cross multiply
    145,114x = 212,703 × 212,703
  4. Step 4: Simplify right side
    145,114x = 45,242,566,209
  5. Step 5: Solve for x
    x = 45,242,566,209/145,114
  6. Step 6: Final answer
    x = 311,772.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.