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Finding the Third Proportional to 142,800 and 307,664

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Solution

The third proportional to 142,800 and 307,664 is: 662,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,800 : 307,664 = 307,664 : x
  2. Step 2: Convert to fraction form
    142,800/307,664 = 307,664/x
  3. Step 3: Cross multiply
    142,800x = 307,664 × 307,664
  4. Step 4: Simplify right side
    142,800x = 94,657,136,896
  5. Step 5: Solve for x
    x = 94,657,136,896/142,800
  6. Step 6: Final answer
    x = 662,865.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.