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Finding the Third Proportional to 621,778 and 912,265

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Solution

The third proportional to 621,778 and 912,265 is: 1,338,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,778 : 912,265 = 912,265 : x
  2. Step 2: Convert to fraction form
    621,778/912,265 = 912,265/x
  3. Step 3: Cross multiply
    621,778x = 912,265 × 912,265
  4. Step 4: Simplify right side
    621,778x = 832,227,430,225
  5. Step 5: Solve for x
    x = 832,227,430,225/621,778
  6. Step 6: Final answer
    x = 1,338,463.94

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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.