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Finding the Third Proportional to 153,428 and 335,548

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Solution

The third proportional to 153,428 and 335,548 is: 733,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,428 : 335,548 = 335,548 : x
  2. Step 2: Convert to fraction form
    153,428/335,548 = 335,548/x
  3. Step 3: Cross multiply
    153,428x = 335,548 × 335,548
  4. Step 4: Simplify right side
    153,428x = 112,592,460,304
  5. Step 5: Solve for x
    x = 112,592,460,304/153,428
  6. Step 6: Final answer
    x = 733,845.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.