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Finding the Third Proportional to 872,394 and 1,312,959

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Solution

The third proportional to 872,394 and 1,312,959 is: 1,976,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,394 : 1,312,959 = 1,312,959 : x
  2. Step 2: Convert to fraction form
    872,394/1,312,959 = 1,312,959/x
  3. Step 3: Cross multiply
    872,394x = 1,312,959 × 1,312,959
  4. Step 4: Simplify right side
    872,394x = 1,723,861,335,681
  5. Step 5: Solve for x
    x = 1,723,861,335,681/872,394
  6. Step 6: Final answer
    x = 1,976,012.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.