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Finding the Third Proportional to 872,381 and 1,312,937

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Solution

The third proportional to 872,381 and 1,312,937 is: 1,975,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,381 : 1,312,937 = 1,312,937 : x
  2. Step 2: Convert to fraction form
    872,381/1,312,937 = 1,312,937/x
  3. Step 3: Cross multiply
    872,381x = 1,312,937 × 1,312,937
  4. Step 4: Simplify right side
    872,381x = 1,723,803,565,969
  5. Step 5: Solve for x
    x = 1,723,803,565,969/872,381
  6. Step 6: Final answer
    x = 1,975,975.60

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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.