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Finding the Third Proportional to 569,359 and 859,920

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Solution

The third proportional to 569,359 and 859,920 is: 1,298,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,359 : 859,920 = 859,920 : x
  2. Step 2: Convert to fraction form
    569,359/859,920 = 859,920/x
  3. Step 3: Cross multiply
    569,359x = 859,920 × 859,920
  4. Step 4: Simplify right side
    569,359x = 739,462,406,400
  5. Step 5: Solve for x
    x = 739,462,406,400/569,359
  6. Step 6: Final answer
    x = 1,298,763.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.