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Finding the Third Proportional to 328,433 and 710,841

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Solution

The third proportional to 328,433 and 710,841 is: 1,538,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,433 : 710,841 = 710,841 : x
  2. Step 2: Convert to fraction form
    328,433/710,841 = 710,841/x
  3. Step 3: Cross multiply
    328,433x = 710,841 × 710,841
  4. Step 4: Simplify right side
    328,433x = 505,294,927,281
  5. Step 5: Solve for x
    x = 505,294,927,281/328,433
  6. Step 6: Final answer
    x = 1,538,502.30

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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.