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Finding the Third Proportional to 270,578 and 428,428

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Solution

The third proportional to 270,578 and 428,428 is: 678,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,578 : 428,428 = 428,428 : x
  2. Step 2: Convert to fraction form
    270,578/428,428 = 428,428/x
  3. Step 3: Cross multiply
    270,578x = 428,428 × 428,428
  4. Step 4: Simplify right side
    270,578x = 183,550,551,184
  5. Step 5: Solve for x
    x = 183,550,551,184/270,578
  6. Step 6: Final answer
    x = 678,364.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.