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Finding the Third Proportional to 531,428 and 789,574

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Solution

The third proportional to 531,428 and 789,574 is: 1,173,116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,428 : 789,574 = 789,574 : x
  2. Step 2: Convert to fraction form
    531,428/789,574 = 789,574/x
  3. Step 3: Cross multiply
    531,428x = 789,574 × 789,574
  4. Step 4: Simplify right side
    531,428x = 623,427,101,476
  5. Step 5: Solve for x
    x = 623,427,101,476/531,428
  6. Step 6: Final answer
    x = 1,173,116.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.