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Finding the Third Proportional to 160,403,295 and 343,827,700.75

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Solution

The third proportional to 160,403,295 and 343,827,700.75 is: 737,001,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,403,295 : 343,827,700.75 = 343,827,700.75 : x
  2. Step 2: Convert to fraction form
    160,403,295/343,827,700.75 = 343,827,700.75/x
  3. Step 3: Cross multiply
    160,403,295x = 343,827,700.75 × 343,827,700.75
  4. Step 4: Simplify right side
    160,403,295x = 118,217,487,803,031,552
  5. Step 5: Solve for x
    x = 118,217,487,803,031,552/160,403,295
  6. Step 6: Final answer
    x = 737,001,617.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.