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Finding the Third Proportional to 346,748 and 720,988

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Solution

The third proportional to 346,748 and 720,988 is: 1,499,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,748 : 720,988 = 720,988 : x
  2. Step 2: Convert to fraction form
    346,748/720,988 = 720,988/x
  3. Step 3: Cross multiply
    346,748x = 720,988 × 720,988
  4. Step 4: Simplify right side
    346,748x = 519,823,696,144
  5. Step 5: Solve for x
    x = 519,823,696,144/346,748
  6. Step 6: Final answer
    x = 1,499,139.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.