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Finding the Third Proportional to 656,859 and 1,421,670

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Solution

The third proportional to 656,859 and 1,421,670 is: 3,076,985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,859 : 1,421,670 = 1,421,670 : x
  2. Step 2: Convert to fraction form
    656,859/1,421,670 = 1,421,670/x
  3. Step 3: Cross multiply
    656,859x = 1,421,670 × 1,421,670
  4. Step 4: Simplify right side
    656,859x = 2,021,145,588,900
  5. Step 5: Solve for x
    x = 2,021,145,588,900/656,859
  6. Step 6: Final answer
    x = 3,076,985.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.