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Finding the Third Proportional to 878,700 and 1,286,946

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Solution

The third proportional to 878,700 and 1,286,946 is: 1,884,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,700 : 1,286,946 = 1,286,946 : x
  2. Step 2: Convert to fraction form
    878,700/1,286,946 = 1,286,946/x
  3. Step 3: Cross multiply
    878,700x = 1,286,946 × 1,286,946
  4. Step 4: Simplify right side
    878,700x = 1,656,230,006,916
  5. Step 5: Solve for x
    x = 1,656,230,006,916/878,700
  6. Step 6: Final answer
    x = 1,884,864.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.