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Finding the Third Proportional to 292,804 and 429,971

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Solution

The third proportional to 292,804 and 429,971 is: 631,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,804 : 429,971 = 429,971 : x
  2. Step 2: Convert to fraction form
    292,804/429,971 = 429,971/x
  3. Step 3: Cross multiply
    292,804x = 429,971 × 429,971
  4. Step 4: Simplify right side
    292,804x = 184,875,060,841
  5. Step 5: Solve for x
    x = 184,875,060,841/292,804
  6. Step 6: Final answer
    x = 631,395.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.