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Finding the Third Proportional to 470,358 and 709,911

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Solution

The third proportional to 470,358 and 709,911 is: 1,071,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,358 : 709,911 = 709,911 : x
  2. Step 2: Convert to fraction form
    470,358/709,911 = 709,911/x
  3. Step 3: Cross multiply
    470,358x = 709,911 × 709,911
  4. Step 4: Simplify right side
    470,358x = 503,973,627,921
  5. Step 5: Solve for x
    x = 503,973,627,921/470,358
  6. Step 6: Final answer
    x = 1,071,468.18

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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.