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Finding the Third Proportional to 423,365 and 915,740

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Solution

The third proportional to 423,365 and 915,740 is: 1,980,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,365 : 915,740 = 915,740 : x
  2. Step 2: Convert to fraction form
    423,365/915,740 = 915,740/x
  3. Step 3: Cross multiply
    423,365x = 915,740 × 915,740
  4. Step 4: Simplify right side
    423,365x = 838,579,747,600
  5. Step 5: Solve for x
    x = 838,579,747,600/423,365
  6. Step 6: Final answer
    x = 1,980,748.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.