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Finding the Third Proportional to 779,428 and 1,674,888.50

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Solution

The third proportional to 779,428 and 1,674,888.50 is: 3,599,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,428 : 1,674,888.50 = 1,674,888.50 : x
  2. Step 2: Convert to fraction form
    779,428/1,674,888.50 = 1,674,888.50/x
  3. Step 3: Cross multiply
    779,428x = 1,674,888.50 × 1,674,888.50
  4. Step 4: Simplify right side
    779,428x = 2,805,251,487,432.25
  5. Step 5: Solve for x
    x = 2,805,251,487,432.25/779,428
  6. Step 6: Final answer
    x = 3,599,115.62

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Why These Related Problems?

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