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Finding the Third Proportional to 648,172.13 and 930,431.81

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Solution

The third proportional to 648,172.13 and 930,431.81 is: 1,335,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,172.13 : 930,431.81 = 930,431.81 : x
  2. Step 2: Convert to fraction form
    648,172.13/930,431.81 = 930,431.81/x
  3. Step 3: Cross multiply
    648,172.13x = 930,431.81 × 930,431.81
  4. Step 4: Simplify right side
    648,172.13x = 865,703,357,712.04
  5. Step 5: Solve for x
    x = 865,703,357,712.04/648,172.13
  6. Step 6: Final answer
    x = 1,335,607.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.