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Finding the Third Proportional to 690,516 and 1,059,831

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Solution

The third proportional to 690,516 and 1,059,831 is: 1,626,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,516 : 1,059,831 = 1,059,831 : x
  2. Step 2: Convert to fraction form
    690,516/1,059,831 = 1,059,831/x
  3. Step 3: Cross multiply
    690,516x = 1,059,831 × 1,059,831
  4. Step 4: Simplify right side
    690,516x = 1,123,241,748,561
  5. Step 5: Solve for x
    x = 1,123,241,748,561/690,516
  6. Step 6: Final answer
    x = 1,626,670.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.