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Finding the Third Proportional to 64,565.25 and 139,854.25

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Solution

The third proportional to 64,565.25 and 139,854.25 is: 302,937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,565.25 : 139,854.25 = 139,854.25 : x
  2. Step 2: Convert to fraction form
    64,565.25/139,854.25 = 139,854.25/x
  3. Step 3: Cross multiply
    64,565.25x = 139,854.25 × 139,854.25
  4. Step 4: Simplify right side
    64,565.25x = 19,559,211,243.06
  5. Step 5: Solve for x
    x = 19,559,211,243.06/64,565.25
  6. Step 6: Final answer
    x = 302,937.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.