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Finding the Third Proportional to 257,748 and 559,776

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Solution

The third proportional to 257,748 and 559,776 is: 1,215,719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,748 : 559,776 = 559,776 : x
  2. Step 2: Convert to fraction form
    257,748/559,776 = 559,776/x
  3. Step 3: Cross multiply
    257,748x = 559,776 × 559,776
  4. Step 4: Simplify right side
    257,748x = 313,349,170,176
  5. Step 5: Solve for x
    x = 313,349,170,176/257,748
  6. Step 6: Final answer
    x = 1,215,719.11

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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.