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Finding the Third Proportional to 646,791 and 1,406,835

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Solution

The third proportional to 646,791 and 1,406,835 is: 3,060,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,791 : 1,406,835 = 1,406,835 : x
  2. Step 2: Convert to fraction form
    646,791/1,406,835 = 1,406,835/x
  3. Step 3: Cross multiply
    646,791x = 1,406,835 × 1,406,835
  4. Step 4: Simplify right side
    646,791x = 1,979,184,717,225
  5. Step 5: Solve for x
    x = 1,979,184,717,225/646,791
  6. Step 6: Final answer
    x = 3,060,006.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.