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Finding the Third Proportional to 317,579 and 686,998

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Solution

The third proportional to 317,579 and 686,998 is: 1,486,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,579 : 686,998 = 686,998 : x
  2. Step 2: Convert to fraction form
    317,579/686,998 = 686,998/x
  3. Step 3: Cross multiply
    317,579x = 686,998 × 686,998
  4. Step 4: Simplify right side
    317,579x = 471,966,252,004
  5. Step 5: Solve for x
    x = 471,966,252,004/317,579
  6. Step 6: Final answer
    x = 1,486,138.10

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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.