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Finding the Third Proportional to 242,656 and 371,712

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Solution

The third proportional to 242,656 and 371,712 is: 569,406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,656 : 371,712 = 371,712 : x
  2. Step 2: Convert to fraction form
    242,656/371,712 = 371,712/x
  3. Step 3: Cross multiply
    242,656x = 371,712 × 371,712
  4. Step 4: Simplify right side
    242,656x = 138,169,810,944
  5. Step 5: Solve for x
    x = 138,169,810,944/242,656
  6. Step 6: Final answer
    x = 569,406.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.