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Finding the Third Proportional to 299,312 and 657,664

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Solution

The third proportional to 299,312 and 657,664 is: 1,445,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,312 : 657,664 = 657,664 : x
  2. Step 2: Convert to fraction form
    299,312/657,664 = 657,664/x
  3. Step 3: Cross multiply
    299,312x = 657,664 × 657,664
  4. Step 4: Simplify right side
    299,312x = 432,521,936,896
  5. Step 5: Solve for x
    x = 432,521,936,896/299,312
  6. Step 6: Final answer
    x = 1,445,053.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.