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Finding the Third Proportional to 123,833,323.13 and 269,457,580.13

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Solution

The third proportional to 123,833,323.13 and 269,457,580.13 is: 586,331,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,833,323.13 : 269,457,580.13 = 269,457,580.13 : x
  2. Step 2: Convert to fraction form
    123,833,323.13/269,457,580.13 = 269,457,580.13/x
  3. Step 3: Cross multiply
    123,833,323.13x = 269,457,580.13 × 269,457,580.13
  4. Step 4: Simplify right side
    123,833,323.13x = 72,607,387,486,820,800
  5. Step 5: Solve for x
    x = 72,607,387,486,820,800/123,833,323.13
  6. Step 6: Final answer
    x = 586,331,575.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.