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Finding the Third Proportional to 261,643 and 565,108.50

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Solution

The third proportional to 261,643 and 565,108.50 is: 1,220,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,643 : 565,108.50 = 565,108.50 : x
  2. Step 2: Convert to fraction form
    261,643/565,108.50 = 565,108.50/x
  3. Step 3: Cross multiply
    261,643x = 565,108.50 × 565,108.50
  4. Step 4: Simplify right side
    261,643x = 319,347,616,772.25
  5. Step 5: Solve for x
    x = 319,347,616,772.25/261,643
  6. Step 6: Final answer
    x = 1,220,547.15

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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.