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Finding the Third Proportional to 319,370 and 695,440

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Solution

The third proportional to 319,370 and 695,440 is: 1,514,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,370 : 695,440 = 695,440 : x
  2. Step 2: Convert to fraction form
    319,370/695,440 = 695,440/x
  3. Step 3: Cross multiply
    319,370x = 695,440 × 695,440
  4. Step 4: Simplify right side
    319,370x = 483,636,793,600
  5. Step 5: Solve for x
    x = 483,636,793,600/319,370
  6. Step 6: Final answer
    x = 1,514,346.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.