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Finding the Third Proportional to 292,628 and 427,791

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Solution

The third proportional to 292,628 and 427,791 is: 625,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,628 : 427,791 = 427,791 : x
  2. Step 2: Convert to fraction form
    292,628/427,791 = 427,791/x
  3. Step 3: Cross multiply
    292,628x = 427,791 × 427,791
  4. Step 4: Simplify right side
    292,628x = 183,005,139,681
  5. Step 5: Solve for x
    x = 183,005,139,681/292,628
  6. Step 6: Final answer
    x = 625,384.92

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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.