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Finding the Third Proportional to 145,398 and 213,297

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Solution

The third proportional to 145,398 and 213,297 is: 312,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,398 : 213,297 = 213,297 : x
  2. Step 2: Convert to fraction form
    145,398/213,297 = 213,297/x
  3. Step 3: Cross multiply
    145,398x = 213,297 × 213,297
  4. Step 4: Simplify right side
    145,398x = 45,495,610,209
  5. Step 5: Solve for x
    x = 45,495,610,209/145,398
  6. Step 6: Final answer
    x = 312,903.96

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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.