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Finding the Third Proportional to 499,699.13 and 712,172.25

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Solution

The third proportional to 499,699.13 and 712,172.25 is: 1,014,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,699.13 : 712,172.25 = 712,172.25 : x
  2. Step 2: Convert to fraction form
    499,699.13/712,172.25 = 712,172.25/x
  3. Step 3: Cross multiply
    499,699.13x = 712,172.25 × 712,172.25
  4. Step 4: Simplify right side
    499,699.13x = 507,189,313,670.06
  5. Step 5: Solve for x
    x = 507,189,313,670.06/499,699.13
  6. Step 6: Final answer
    x = 1,014,989.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.