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Finding the Third Proportional to 160,335 and 346,365

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Solution

The third proportional to 160,335 and 346,365 is: 748,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,335 : 346,365 = 346,365 : x
  2. Step 2: Convert to fraction form
    160,335/346,365 = 346,365/x
  3. Step 3: Cross multiply
    160,335x = 346,365 × 346,365
  4. Step 4: Simplify right side
    160,335x = 119,968,713,225
  5. Step 5: Solve for x
    x = 119,968,713,225/160,335
  6. Step 6: Final answer
    x = 748,237.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.