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Finding the Third Proportional to 442,330,501.50 and 686,802,425

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Solution

The third proportional to 442,330,501.50 and 686,802,425 is: 1,066,391,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,330,501.50 : 686,802,425 = 686,802,425 : x
  2. Step 2: Convert to fraction form
    442,330,501.50/686,802,425 = 686,802,425/x
  3. Step 3: Cross multiply
    442,330,501.50x = 686,802,425 × 686,802,425
  4. Step 4: Simplify right side
    442,330,501.50x = 471,697,570,985,880,640
  5. Step 5: Solve for x
    x = 471,697,570,985,880,640/442,330,501.50
  6. Step 6: Final answer
    x = 1,066,391,689.89

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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.