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Finding the Third Proportional to 403,730 and 626,915

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Solution

The third proportional to 403,730 and 626,915 is: 973,478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,730 : 626,915 = 626,915 : x
  2. Step 2: Convert to fraction form
    403,730/626,915 = 626,915/x
  3. Step 3: Cross multiply
    403,730x = 626,915 × 626,915
  4. Step 4: Simplify right side
    403,730x = 393,022,417,225
  5. Step 5: Solve for x
    x = 393,022,417,225/403,730
  6. Step 6: Final answer
    x = 973,478.36

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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.