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Finding the Third Proportional to 151,428 and 212,332

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Solution

The third proportional to 151,428 and 212,332 is: 297,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,428 : 212,332 = 212,332 : x
  2. Step 2: Convert to fraction form
    151,428/212,332 = 212,332/x
  3. Step 3: Cross multiply
    151,428x = 212,332 × 212,332
  4. Step 4: Simplify right side
    151,428x = 45,084,878,224
  5. Step 5: Solve for x
    x = 45,084,878,224/151,428
  6. Step 6: Final answer
    x = 297,731.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.