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Finding the Third Proportional to 438,430 and 657,642

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Solution

The third proportional to 438,430 and 657,642 is: 986,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,430 : 657,642 = 657,642 : x
  2. Step 2: Convert to fraction form
    438,430/657,642 = 657,642/x
  3. Step 3: Cross multiply
    438,430x = 657,642 × 657,642
  4. Step 4: Simplify right side
    438,430x = 432,493,000,164
  5. Step 5: Solve for x
    x = 432,493,000,164/438,430
  6. Step 6: Final answer
    x = 986,458.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.