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Finding the Third Proportional to 328,371 and 712,788

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Solution

The third proportional to 328,371 and 712,788 is: 1,547,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,371 : 712,788 = 712,788 : x
  2. Step 2: Convert to fraction form
    328,371/712,788 = 712,788/x
  3. Step 3: Cross multiply
    328,371x = 712,788 × 712,788
  4. Step 4: Simplify right side
    328,371x = 508,066,732,944
  5. Step 5: Solve for x
    x = 508,066,732,944/328,371
  6. Step 6: Final answer
    x = 1,547,233.87

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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.