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Finding the Third Proportional to 371,304 and 812,160

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Solution

The third proportional to 371,304 and 812,160 is: 1,776,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,304 : 812,160 = 812,160 : x
  2. Step 2: Convert to fraction form
    371,304/812,160 = 812,160/x
  3. Step 3: Cross multiply
    371,304x = 812,160 × 812,160
  4. Step 4: Simplify right side
    371,304x = 659,603,865,600
  5. Step 5: Solve for x
    x = 659,603,865,600/371,304
  6. Step 6: Final answer
    x = 1,776,452.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.