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Finding the Third Proportional to 258,678,695.25 and 390,703,706.25

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Solution

The third proportional to 258,678,695.25 and 390,703,706.25 is: 590,111,937.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,678,695.25 : 390,703,706.25 = 390,703,706.25 : x
  2. Step 2: Convert to fraction form
    258,678,695.25/390,703,706.25 = 390,703,706.25/x
  3. Step 3: Cross multiply
    258,678,695.25x = 390,703,706.25 × 390,703,706.25
  4. Step 4: Simplify right side
    258,678,695.25x = 152,649,386,077,486,304
  5. Step 5: Solve for x
    x = 152,649,386,077,486,304/258,678,695.25
  6. Step 6: Final answer
    x = 590,111,937.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.