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Finding the Third Proportional to 478,645 and 708,514

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Solution

The third proportional to 478,645 and 708,514 is: 1,048,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,645 : 708,514 = 708,514 : x
  2. Step 2: Convert to fraction form
    478,645/708,514 = 708,514/x
  3. Step 3: Cross multiply
    478,645x = 708,514 × 708,514
  4. Step 4: Simplify right side
    478,645x = 501,992,088,196
  5. Step 5: Solve for x
    x = 501,992,088,196/478,645
  6. Step 6: Final answer
    x = 1,048,777.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.