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Finding the Third Proportional to 451,164 and 634,776

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Solution

The third proportional to 451,164 and 634,776 is: 893,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,164 : 634,776 = 634,776 : x
  2. Step 2: Convert to fraction form
    451,164/634,776 = 634,776/x
  3. Step 3: Cross multiply
    451,164x = 634,776 × 634,776
  4. Step 4: Simplify right side
    451,164x = 402,940,570,176
  5. Step 5: Solve for x
    x = 402,940,570,176/451,164
  6. Step 6: Final answer
    x = 893,113.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.