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Finding the Third Proportional to 142,461.48 and 310,223.49

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Solution

The third proportional to 142,461.48 and 310,223.49 is: 675,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,461.48 : 310,223.49 = 310,223.49 : x
  2. Step 2: Convert to fraction form
    142,461.48/310,223.49 = 310,223.49/x
  3. Step 3: Cross multiply
    142,461.48x = 310,223.49 × 310,223.49
  4. Step 4: Simplify right side
    142,461.48x = 96,238,616,165.35
  5. Step 5: Solve for x
    x = 96,238,616,165.35/142,461.48
  6. Step 6: Final answer
    x = 675,541.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.