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Finding the Third Proportional to 326,748 and 707,778

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Solution

The third proportional to 326,748 and 707,778 is: 1,533,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,748 : 707,778 = 707,778 : x
  2. Step 2: Convert to fraction form
    326,748/707,778 = 707,778/x
  3. Step 3: Cross multiply
    326,748x = 707,778 × 707,778
  4. Step 4: Simplify right side
    326,748x = 500,949,697,284
  5. Step 5: Solve for x
    x = 500,949,697,284/326,748
  6. Step 6: Final answer
    x = 1,533,137.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.