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Finding the Third Proportional to 610,428 and 933,786

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Solution

The third proportional to 610,428 and 933,786 is: 1,428,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,428 : 933,786 = 933,786 : x
  2. Step 2: Convert to fraction form
    610,428/933,786 = 933,786/x
  3. Step 3: Cross multiply
    610,428x = 933,786 × 933,786
  4. Step 4: Simplify right side
    610,428x = 871,956,293,796
  5. Step 5: Solve for x
    x = 871,956,293,796/610,428
  6. Step 6: Final answer
    x = 1,428,434.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.