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Finding the Third Proportional to 145,657,275 and 312,090,550

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Solution

The third proportional to 145,657,275 and 312,090,550 is: 668,696,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,657,275 : 312,090,550 = 312,090,550 : x
  2. Step 2: Convert to fraction form
    145,657,275/312,090,550 = 312,090,550/x
  3. Step 3: Cross multiply
    145,657,275x = 312,090,550 × 312,090,550
  4. Step 4: Simplify right side
    145,657,275x = 97,400,511,399,302,496
  5. Step 5: Solve for x
    x = 97,400,511,399,302,496/145,657,275
  6. Step 6: Final answer
    x = 668,696,509.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.