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Finding the Third Proportional to 64,545 and 139,813

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Solution

The third proportional to 64,545 and 139,813 is: 302,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,545 : 139,813 = 139,813 : x
  2. Step 2: Convert to fraction form
    64,545/139,813 = 139,813/x
  3. Step 3: Cross multiply
    64,545x = 139,813 × 139,813
  4. Step 4: Simplify right side
    64,545x = 19,547,674,969
  5. Step 5: Solve for x
    x = 19,547,674,969/64,545
  6. Step 6: Final answer
    x = 302,853.44

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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.