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Finding the Third Proportional to 872,946 and 1,312,665

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Solution

The third proportional to 872,946 and 1,312,665 is: 1,973,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,946 : 1,312,665 = 1,312,665 : x
  2. Step 2: Convert to fraction form
    872,946/1,312,665 = 1,312,665/x
  3. Step 3: Cross multiply
    872,946x = 1,312,665 × 1,312,665
  4. Step 4: Simplify right side
    872,946x = 1,723,089,402,225
  5. Step 5: Solve for x
    x = 1,723,089,402,225/872,946
  6. Step 6: Final answer
    x = 1,973,878.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.