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Finding the Third Proportional to 312,316,746 and 685,915,242

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Solution

The third proportional to 312,316,746 and 685,915,242 is: 1,506,418,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,316,746 : 685,915,242 = 685,915,242 : x
  2. Step 2: Convert to fraction form
    312,316,746/685,915,242 = 685,915,242/x
  3. Step 3: Cross multiply
    312,316,746x = 685,915,242 × 685,915,242
  4. Step 4: Simplify right side
    312,316,746x = 470,479,719,207,918,592
  5. Step 5: Solve for x
    x = 470,479,719,207,918,592/312,316,746
  6. Step 6: Final answer
    x = 1,506,418,484.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.