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Finding the Third Proportional to 506,712 and 802,320

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Solution

The third proportional to 506,712 and 802,320 is: 1,270,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,712 : 802,320 = 802,320 : x
  2. Step 2: Convert to fraction form
    506,712/802,320 = 802,320/x
  3. Step 3: Cross multiply
    506,712x = 802,320 × 802,320
  4. Step 4: Simplify right side
    506,712x = 643,717,382,400
  5. Step 5: Solve for x
    x = 643,717,382,400/506,712
  6. Step 6: Final answer
    x = 1,270,381.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.