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Finding the Third Proportional to 328,437 and 710,856

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Solution

The third proportional to 328,437 and 710,856 is: 1,538,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,437 : 710,856 = 710,856 : x
  2. Step 2: Convert to fraction form
    328,437/710,856 = 710,856/x
  3. Step 3: Cross multiply
    328,437x = 710,856 × 710,856
  4. Step 4: Simplify right side
    328,437x = 505,316,252,736
  5. Step 5: Solve for x
    x = 505,316,252,736/328,437
  6. Step 6: Final answer
    x = 1,538,548.50

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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.