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Finding the Third Proportional to 310,744 and 470,316

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Solution

The third proportional to 310,744 and 470,316 is: 711,830.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,744 : 470,316 = 470,316 : x
  2. Step 2: Convert to fraction form
    310,744/470,316 = 470,316/x
  3. Step 3: Cross multiply
    310,744x = 470,316 × 470,316
  4. Step 4: Simplify right side
    310,744x = 221,197,139,856
  5. Step 5: Solve for x
    x = 221,197,139,856/310,744
  6. Step 6: Final answer
    x = 711,830.77

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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.