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Finding the Third Proportional to 406,520 and 612,776

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Solution

The third proportional to 406,520 and 612,776 is: 923,680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,520 : 612,776 = 612,776 : x
  2. Step 2: Convert to fraction form
    406,520/612,776 = 612,776/x
  3. Step 3: Cross multiply
    406,520x = 612,776 × 612,776
  4. Step 4: Simplify right side
    406,520x = 375,494,426,176
  5. Step 5: Solve for x
    x = 375,494,426,176/406,520
  6. Step 6: Final answer
    x = 923,680.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.