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Finding the Third Proportional to 488,905 and 657,905

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Solution

The third proportional to 488,905 and 657,905 is: 885,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,905 : 657,905 = 657,905 : x
  2. Step 2: Convert to fraction form
    488,905/657,905 = 657,905/x
  3. Step 3: Cross multiply
    488,905x = 657,905 × 657,905
  4. Step 4: Simplify right side
    488,905x = 432,838,989,025
  5. Step 5: Solve for x
    x = 432,838,989,025/488,905
  6. Step 6: Final answer
    x = 885,323.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.