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Finding the Third Proportional to 620,905 and 910,911

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Solution

The third proportional to 620,905 and 910,911 is: 1,336,370.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,905 : 910,911 = 910,911 : x
  2. Step 2: Convert to fraction form
    620,905/910,911 = 910,911/x
  3. Step 3: Cross multiply
    620,905x = 910,911 × 910,911
  4. Step 4: Simplify right side
    620,905x = 829,758,849,921
  5. Step 5: Solve for x
    x = 829,758,849,921/620,905
  6. Step 6: Final answer
    x = 1,336,370.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.