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Finding the Third Proportional to 426,377 and 917,270

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Solution

The third proportional to 426,377 and 917,270 is: 1,973,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,377 : 917,270 = 917,270 : x
  2. Step 2: Convert to fraction form
    426,377/917,270 = 917,270/x
  3. Step 3: Cross multiply
    426,377x = 917,270 × 917,270
  4. Step 4: Simplify right side
    426,377x = 841,384,252,900
  5. Step 5: Solve for x
    x = 841,384,252,900/426,377
  6. Step 6: Final answer
    x = 1,973,334.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.