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Finding the Third Proportional to 328,365 and 712,777

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Solution

The third proportional to 328,365 and 712,777 is: 1,547,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,365 : 712,777 = 712,777 : x
  2. Step 2: Convert to fraction form
    328,365/712,777 = 712,777/x
  3. Step 3: Cross multiply
    328,365x = 712,777 × 712,777
  4. Step 4: Simplify right side
    328,365x = 508,051,051,729
  5. Step 5: Solve for x
    x = 508,051,051,729/328,365
  6. Step 6: Final answer
    x = 1,547,214.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.