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Finding the Third Proportional to 412,854 and 634,770

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Solution

The third proportional to 412,854 and 634,770 is: 975,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,854 : 634,770 = 634,770 : x
  2. Step 2: Convert to fraction form
    412,854/634,770 = 634,770/x
  3. Step 3: Cross multiply
    412,854x = 634,770 × 634,770
  4. Step 4: Simplify right side
    412,854x = 402,932,952,900
  5. Step 5: Solve for x
    x = 402,932,952,900/412,854
  6. Step 6: Final answer
    x = 975,969.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.