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Finding the Third Proportional to 356,643 and 554,008

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Solution

The third proportional to 356,643 and 554,008 is: 860,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,643 : 554,008 = 554,008 : x
  2. Step 2: Convert to fraction form
    356,643/554,008 = 554,008/x
  3. Step 3: Cross multiply
    356,643x = 554,008 × 554,008
  4. Step 4: Simplify right side
    356,643x = 306,924,864,064
  5. Step 5: Solve for x
    x = 306,924,864,064/356,643
  6. Step 6: Final answer
    x = 860,594.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.