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Finding the Third Proportional to 145,594.13 and 311,428.13

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Solution

The third proportional to 145,594.13 and 311,428.13 is: 666,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,594.13 : 311,428.13 = 311,428.13 : x
  2. Step 2: Convert to fraction form
    145,594.13/311,428.13 = 311,428.13/x
  3. Step 3: Cross multiply
    145,594.13x = 311,428.13 × 311,428.13
  4. Step 4: Simplify right side
    145,594.13x = 96,987,477,041.02
  5. Step 5: Solve for x
    x = 96,987,477,041.02/145,594.13
  6. Step 6: Final answer
    x = 666,149.66

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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.