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Finding the Third Proportional to 687,998 and 1,011,772

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Solution

The third proportional to 687,998 and 1,011,772 is: 1,487,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,998 : 1,011,772 = 1,011,772 : x
  2. Step 2: Convert to fraction form
    687,998/1,011,772 = 1,011,772/x
  3. Step 3: Cross multiply
    687,998x = 1,011,772 × 1,011,772
  4. Step 4: Simplify right side
    687,998x = 1,023,682,579,984
  5. Step 5: Solve for x
    x = 1,023,682,579,984/687,998
  6. Step 6: Final answer
    x = 1,487,915.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.