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Finding the Third Proportional to 210,557 and 429,574

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Solution

The third proportional to 210,557 and 429,574 is: 876,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,557 : 429,574 = 429,574 : x
  2. Step 2: Convert to fraction form
    210,557/429,574 = 429,574/x
  3. Step 3: Cross multiply
    210,557x = 429,574 × 429,574
  4. Step 4: Simplify right side
    210,557x = 184,533,821,476
  5. Step 5: Solve for x
    x = 184,533,821,476/210,557
  6. Step 6: Final answer
    x = 876,407.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.