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Finding the Third Proportional to 145,530.14 and 318,114.28

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Solution

The third proportional to 145,530.14 and 318,114.28 is: 695,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,530.14 : 318,114.28 = 318,114.28 : x
  2. Step 2: Convert to fraction form
    145,530.14/318,114.28 = 318,114.28/x
  3. Step 3: Cross multiply
    145,530.14x = 318,114.28 × 318,114.28
  4. Step 4: Simplify right side
    145,530.14x = 101,196,695,935.20
  5. Step 5: Solve for x
    x = 101,196,695,935.20/145,530.14
  6. Step 6: Final answer
    x = 695,365.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.