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Finding the Third Proportional to 423,331 and 905,580

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Solution

The third proportional to 423,331 and 905,580 is: 1,937,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,331 : 905,580 = 905,580 : x
  2. Step 2: Convert to fraction form
    423,331/905,580 = 905,580/x
  3. Step 3: Cross multiply
    423,331x = 905,580 × 905,580
  4. Step 4: Simplify right side
    423,331x = 820,075,136,400
  5. Step 5: Solve for x
    x = 820,075,136,400/423,331
  6. Step 6: Final answer
    x = 1,937,196.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.