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Finding the Third Proportional to 423,192 and 915,409

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Solution

The third proportional to 423,192 and 915,409 is: 1,980,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,192 : 915,409 = 915,409 : x
  2. Step 2: Convert to fraction form
    423,192/915,409 = 915,409/x
  3. Step 3: Cross multiply
    423,192x = 915,409 × 915,409
  4. Step 4: Simplify right side
    423,192x = 837,973,637,281
  5. Step 5: Solve for x
    x = 837,973,637,281/423,192
  6. Step 6: Final answer
    x = 1,980,126.37

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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.