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Finding the Third Proportional to 309,894 and 478,854

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Solution

The third proportional to 309,894 and 478,854 is: 739,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,894 : 478,854 = 478,854 : x
  2. Step 2: Convert to fraction form
    309,894/478,854 = 478,854/x
  3. Step 3: Cross multiply
    309,894x = 478,854 × 478,854
  4. Step 4: Simplify right side
    309,894x = 229,301,153,316
  5. Step 5: Solve for x
    x = 229,301,153,316/309,894
  6. Step 6: Final answer
    x = 739,934.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.