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Finding the Third Proportional to 319,887 and 740,547

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Solution

The third proportional to 319,887 and 740,547 is: 1,714,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,887 : 740,547 = 740,547 : x
  2. Step 2: Convert to fraction form
    319,887/740,547 = 740,547/x
  3. Step 3: Cross multiply
    319,887x = 740,547 × 740,547
  4. Step 4: Simplify right side
    319,887x = 548,409,859,209
  5. Step 5: Solve for x
    x = 548,409,859,209/319,887
  6. Step 6: Final answer
    x = 1,714,386.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.