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Finding the Third Proportional to 419,574 and 645,289

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Solution

The third proportional to 419,574 and 645,289 is: 992,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,574 : 645,289 = 645,289 : x
  2. Step 2: Convert to fraction form
    419,574/645,289 = 645,289/x
  3. Step 3: Cross multiply
    419,574x = 645,289 × 645,289
  4. Step 4: Simplify right side
    419,574x = 416,397,893,521
  5. Step 5: Solve for x
    x = 416,397,893,521/419,574
  6. Step 6: Final answer
    x = 992,430.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.