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Finding the Third Proportional to 423,566 and 930,076

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Solution

The third proportional to 423,566 and 930,076 is: 2,042,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,566 : 930,076 = 930,076 : x
  2. Step 2: Convert to fraction form
    423,566/930,076 = 930,076/x
  3. Step 3: Cross multiply
    423,566x = 930,076 × 930,076
  4. Step 4: Simplify right side
    423,566x = 865,041,365,776
  5. Step 5: Solve for x
    x = 865,041,365,776/423,566
  6. Step 6: Final answer
    x = 2,042,282.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.