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Finding the Third Proportional to 328,430 and 710,840

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Solution

The third proportional to 328,430 and 710,840 is: 1,538,512.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,430 : 710,840 = 710,840 : x
  2. Step 2: Convert to fraction form
    328,430/710,840 = 710,840/x
  3. Step 3: Cross multiply
    328,430x = 710,840 × 710,840
  4. Step 4: Simplify right side
    328,430x = 505,293,505,600
  5. Step 5: Solve for x
    x = 505,293,505,600/328,430
  6. Step 6: Final answer
    x = 1,538,512.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.