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Finding the Third Proportional to 285,792 and 420,426

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Solution

The third proportional to 285,792 and 420,426 is: 618,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,792 : 420,426 = 420,426 : x
  2. Step 2: Convert to fraction form
    285,792/420,426 = 420,426/x
  3. Step 3: Cross multiply
    285,792x = 420,426 × 420,426
  4. Step 4: Simplify right side
    285,792x = 176,758,021,476
  5. Step 5: Solve for x
    x = 176,758,021,476/285,792
  6. Step 6: Final answer
    x = 618,484.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.