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Finding the Third Proportional to 431,377 and 907,369

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Solution

The third proportional to 431,377 and 907,369 is: 1,908,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,377 : 907,369 = 907,369 : x
  2. Step 2: Convert to fraction form
    431,377/907,369 = 907,369/x
  3. Step 3: Cross multiply
    431,377x = 907,369 × 907,369
  4. Step 4: Simplify right side
    431,377x = 823,318,502,161
  5. Step 5: Solve for x
    x = 823,318,502,161/431,377
  6. Step 6: Final answer
    x = 1,908,582.29

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.