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Finding the Third Proportional to 141,402 and 307,680

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Solution

The third proportional to 141,402 and 307,680 is: 669,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,402 : 307,680 = 307,680 : x
  2. Step 2: Convert to fraction form
    141,402/307,680 = 307,680/x
  3. Step 3: Cross multiply
    141,402x = 307,680 × 307,680
  4. Step 4: Simplify right side
    141,402x = 94,666,982,400
  5. Step 5: Solve for x
    x = 94,666,982,400/141,402
  6. Step 6: Final answer
    x = 669,488.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.