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Finding the Third Proportional to 145,606.36 and 311,457.66

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Solution

The third proportional to 145,606.36 and 311,457.66 is: 666,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,606.36 : 311,457.66 = 311,457.66 : x
  2. Step 2: Convert to fraction form
    145,606.36/311,457.66 = 311,457.66/x
  3. Step 3: Cross multiply
    145,606.36x = 311,457.66 × 311,457.66
  4. Step 4: Simplify right side
    145,606.36x = 97,005,871,636.74
  5. Step 5: Solve for x
    x = 97,005,871,636.74/145,606.36
  6. Step 6: Final answer
    x = 666,220.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.