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Finding the Third Proportional to 872,384 and 1,312,946

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Solution

The third proportional to 872,384 and 1,312,946 is: 1,975,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,384 : 1,312,946 = 1,312,946 : x
  2. Step 2: Convert to fraction form
    872,384/1,312,946 = 1,312,946/x
  3. Step 3: Cross multiply
    872,384x = 1,312,946 × 1,312,946
  4. Step 4: Simplify right side
    872,384x = 1,723,827,198,916
  5. Step 5: Solve for x
    x = 1,723,827,198,916/872,384
  6. Step 6: Final answer
    x = 1,975,995.89

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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.